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Finding the Fourth Proportional to 2,002.47, 3,003.71 and 975.75

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Solution

The fourth proportional to 2,002.47, 3,003.71 and 975.75 is: 1,463.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,002.47 : 3,003.71 = 975.75 : x
  2. Step 2: Convert to fraction form
    2,002.47/3,003.71 = 975.75/x
  3. Step 3: Cross multiply
    2,002.47x = 3,003.71 × 975.75
  4. Step 4: Simplify right side
    2,002.47x = 2,930,865.15
  5. Step 5: Solve for x
    x = 2,930,865.15/2,002.47
  6. Step 6: Final answer
    x = 1,463.63

Related Problems

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Double scale
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Similar ratio
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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.