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Finding the Fourth Proportional to 2,781.53, 4,172.16 and 933.92

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Solution

The fourth proportional to 2,781.53, 4,172.16 and 933.92 is: 1,400.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,781.53 : 4,172.16 = 933.92 : x
  2. Step 2: Convert to fraction form
    2,781.53/4,172.16 = 933.92/x
  3. Step 3: Cross multiply
    2,781.53x = 4,172.16 × 933.92
  4. Step 4: Simplify right side
    2,781.53x = 3,896,463.67
  5. Step 5: Solve for x
    x = 3,896,463.67/2,781.53
  6. Step 6: Final answer
    x = 1,400.83

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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.