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Finding the Fourth Proportional to 2,459.13, 3,688.57 and 610.17

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Solution

The fourth proportional to 2,459.13, 3,688.57 and 610.17 is: 915.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,459.13 : 3,688.57 = 610.17 : x
  2. Step 2: Convert to fraction form
    2,459.13/3,688.57 = 610.17/x
  3. Step 3: Cross multiply
    2,459.13x = 3,688.57 × 610.17
  4. Step 4: Simplify right side
    2,459.13x = 2,250,641.69
  5. Step 5: Solve for x
    x = 2,250,641.69/2,459.13
  6. Step 6: Final answer
    x = 915.22

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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.