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Finding the Fourth Proportional to 2,459.72, 3,689.71 and 2,335.16

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Solution

The fourth proportional to 2,459.72, 3,689.71 and 2,335.16 is: 3,502.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,459.72 : 3,689.71 = 2,335.16 : x
  2. Step 2: Convert to fraction form
    2,459.72/3,689.71 = 2,335.16/x
  3. Step 3: Cross multiply
    2,459.72x = 3,689.71 × 2,335.16
  4. Step 4: Simplify right side
    2,459.72x = 8,616,063.20
  5. Step 5: Solve for x
    x = 8,616,063.20/2,459.72
  6. Step 6: Final answer
    x = 3,502.86

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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.