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Finding the Fourth Proportional to 2,381.74, 3,569.20 and 1,339.55

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Solution

The fourth proportional to 2,381.74, 3,569.20 and 1,339.55 is: 2,007.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,381.74 : 3,569.20 = 1,339.55 : x
  2. Step 2: Convert to fraction form
    2,381.74/3,569.20 = 1,339.55/x
  3. Step 3: Cross multiply
    2,381.74x = 3,569.20 × 1,339.55
  4. Step 4: Simplify right side
    2,381.74x = 4,781,121.86
  5. Step 5: Solve for x
    x = 4,781,121.86/2,381.74
  6. Step 6: Final answer
    x = 2,007.41

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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.