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Finding the Fourth Proportional to 2,123.57, 3,167.20 and 1,865.27

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Solution

The fourth proportional to 2,123.57, 3,167.20 and 1,865.27 is: 2,781.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,123.57 : 3,167.20 = 1,865.27 : x
  2. Step 2: Convert to fraction form
    2,123.57/3,167.20 = 1,865.27/x
  3. Step 3: Cross multiply
    2,123.57x = 3,167.20 × 1,865.27
  4. Step 4: Simplify right side
    2,123.57x = 5,907,683.14
  5. Step 5: Solve for x
    x = 5,907,683.14/2,123.57
  6. Step 6: Final answer
    x = 2,781.96

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.