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Finding the Fourth Proportional to 2,464.72, 3,693.56 and 1,689.04

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Solution

The fourth proportional to 2,464.72, 3,693.56 and 1,689.04 is: 2,531.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,464.72 : 3,693.56 = 1,689.04 : x
  2. Step 2: Convert to fraction form
    2,464.72/3,693.56 = 1,689.04/x
  3. Step 3: Cross multiply
    2,464.72x = 3,693.56 × 1,689.04
  4. Step 4: Simplify right side
    2,464.72x = 6,238,570.58
  5. Step 5: Solve for x
    x = 6,238,570.58/2,464.72
  6. Step 6: Final answer
    x = 2,531.15

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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.