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Finding the Fourth Proportional to 2,083.59, 2,876.72 and 1,691.55

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Solution

The fourth proportional to 2,083.59, 2,876.72 and 1,691.55 is: 2,335.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,083.59 : 2,876.72 = 1,691.55 : x
  2. Step 2: Convert to fraction form
    2,083.59/2,876.72 = 1,691.55/x
  3. Step 3: Cross multiply
    2,083.59x = 2,876.72 × 1,691.55
  4. Step 4: Simplify right side
    2,083.59x = 4,866,107.26
  5. Step 5: Solve for x
    x = 4,866,107.26/2,083.59
  6. Step 6: Final answer
    x = 2,335.44

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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.