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Finding the Fourth Proportional to 2,123.59, 2,930.92 and 1,587.91

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Solution

The fourth proportional to 2,123.59, 2,930.92 and 1,587.91 is: 2,191.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,123.59 : 2,930.92 = 1,587.91 : x
  2. Step 2: Convert to fraction form
    2,123.59/2,930.92 = 1,587.91/x
  3. Step 3: Cross multiply
    2,123.59x = 2,930.92 × 1,587.91
  4. Step 4: Simplify right side
    2,123.59x = 4,654,045.16
  5. Step 5: Solve for x
    x = 4,654,045.16/2,123.59
  6. Step 6: Final answer
    x = 2,191.60

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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.