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Finding the Fourth Proportional to 2,123.71, 3,184.53 and 736.55

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Solution

The fourth proportional to 2,123.71, 3,184.53 and 736.55 is: 1,104.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,123.71 : 3,184.53 = 736.55 : x
  2. Step 2: Convert to fraction form
    2,123.71/3,184.53 = 736.55/x
  3. Step 3: Cross multiply
    2,123.71x = 3,184.53 × 736.55
  4. Step 4: Simplify right side
    2,123.71x = 2,345,565.57
  5. Step 5: Solve for x
    x = 2,345,565.57/2,123.71
  6. Step 6: Final answer
    x = 1,104.47

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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.