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Finding the Fourth Proportional to 2,781.95, 4,168.71 and 1,137.56

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Solution

The fourth proportional to 2,781.95, 4,168.71 and 1,137.56 is: 1,704.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,781.95 : 4,168.71 = 1,137.56 : x
  2. Step 2: Convert to fraction form
    2,781.95/4,168.71 = 1,137.56/x
  3. Step 3: Cross multiply
    2,781.95x = 4,168.71 × 1,137.56
  4. Step 4: Simplify right side
    2,781.95x = 4,742,136.90
  5. Step 5: Solve for x
    x = 4,742,136.90/2,781.95
  6. Step 6: Final answer
    x = 1,704.61

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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.