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Finding the Fourth Proportional to 3,002.51, 4,503.74 and 922.47

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Solution

The fourth proportional to 3,002.51, 4,503.74 and 922.47 is: 1,383.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,002.51 : 4,503.74 = 922.47 : x
  2. Step 2: Convert to fraction form
    3,002.51/4,503.74 = 922.47/x
  3. Step 3: Cross multiply
    3,002.51x = 4,503.74 × 922.47
  4. Step 4: Simplify right side
    3,002.51x = 4,154,560.43
  5. Step 5: Solve for x
    x = 4,154,560.43/3,002.51
  6. Step 6: Final answer
    x = 1,383.70

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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.