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Finding the Fourth Proportional to 2,737.56, 4,106.54 and 789.92

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Solution

The fourth proportional to 2,737.56, 4,106.54 and 789.92 is: 1,184.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,737.56 : 4,106.54 = 789.92 : x
  2. Step 2: Convert to fraction form
    2,737.56/4,106.54 = 789.92/x
  3. Step 3: Cross multiply
    2,737.56x = 4,106.54 × 789.92
  4. Step 4: Simplify right side
    2,737.56x = 3,243,819.52
  5. Step 5: Solve for x
    x = 3,243,819.52/2,737.56
  6. Step 6: Final answer
    x = 1,184.93

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.