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Finding the Fourth Proportional to 2,417.75, 3,627.14 and 1,031.13

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Solution

The fourth proportional to 2,417.75, 3,627.14 and 1,031.13 is: 1,546.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,417.75 : 3,627.14 = 1,031.13 : x
  2. Step 2: Convert to fraction form
    2,417.75/3,627.14 = 1,031.13/x
  3. Step 3: Cross multiply
    2,417.75x = 3,627.14 × 1,031.13
  4. Step 4: Simplify right side
    2,417.75x = 3,740,061.94
  5. Step 5: Solve for x
    x = 3,740,061.94/2,417.75
  6. Step 6: Final answer
    x = 1,546.92

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