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Finding the Fourth Proportional to 2,001.25, 3,002.96 and 975.25

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Solution

The fourth proportional to 2,001.25, 3,002.96 and 975.25 is: 1,463.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,001.25 : 3,002.96 = 975.25 : x
  2. Step 2: Convert to fraction form
    2,001.25/3,002.96 = 975.25/x
  3. Step 3: Cross multiply
    2,001.25x = 3,002.96 × 975.25
  4. Step 4: Simplify right side
    2,001.25x = 2,928,636.74
  5. Step 5: Solve for x
    x = 2,928,636.74/2,001.25
  6. Step 6: Final answer
    x = 1,463.40

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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.