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Finding the Fourth Proportional to 2,689.59, 3,712.32 and 2,092.08

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Solution

The fourth proportional to 2,689.59, 3,712.32 and 2,092.08 is: 2,887.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,689.59 : 3,712.32 = 2,092.08 : x
  2. Step 2: Convert to fraction form
    2,689.59/3,712.32 = 2,092.08/x
  3. Step 3: Cross multiply
    2,689.59x = 3,712.32 × 2,092.08
  4. Step 4: Simplify right side
    2,689.59x = 7,766,470.43
  5. Step 5: Solve for x
    x = 7,766,470.43/2,689.59
  6. Step 6: Final answer
    x = 2,887.60

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.