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Finding the Fourth Proportional to 2,459.21, 3,688.71 and 610.28

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Solution

The fourth proportional to 2,459.21, 3,688.71 and 610.28 is: 915.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,459.21 : 3,688.71 = 610.28 : x
  2. Step 2: Convert to fraction form
    2,459.21/3,688.71 = 610.28/x
  3. Step 3: Cross multiply
    2,459.21x = 3,688.71 × 610.28
  4. Step 4: Simplify right side
    2,459.21x = 2,251,155.16
  5. Step 5: Solve for x
    x = 2,251,155.16/2,459.21
  6. Step 6: Final answer
    x = 915.40

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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.