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Finding the Fourth Proportional to 2,737.14, 4,105.80 and 762.93

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Solution

The fourth proportional to 2,737.14, 4,105.80 and 762.93 is: 1,144.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,737.14 : 4,105.80 = 762.93 : x
  2. Step 2: Convert to fraction form
    2,737.14/4,105.80 = 762.93/x
  3. Step 3: Cross multiply
    2,737.14x = 4,105.80 × 762.93
  4. Step 4: Simplify right side
    2,737.14x = 3,132,437.99
  5. Step 5: Solve for x
    x = 3,132,437.99/2,737.14
  6. Step 6: Final answer
    x = 1,144.42

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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.