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Finding the Fourth Proportional to 3,123.81, 4,686.50 and 2,569.44

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Solution

The fourth proportional to 3,123.81, 4,686.50 and 2,569.44 is: 3,854.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,123.81 : 4,686.50 = 2,569.44 : x
  2. Step 2: Convert to fraction form
    3,123.81/4,686.50 = 2,569.44/x
  3. Step 3: Cross multiply
    3,123.81x = 4,686.50 × 2,569.44
  4. Step 4: Simplify right side
    3,123.81x = 12,041,680.56
  5. Step 5: Solve for x
    x = 12,041,680.56/3,123.81
  6. Step 6: Final answer
    x = 3,854.81

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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.