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Finding the Fourth Proportional to 2,763.52, 4,145.70 and 914.83

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Solution

The fourth proportional to 2,763.52, 4,145.70 and 914.83 is: 1,372.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,763.52 : 4,145.70 = 914.83 : x
  2. Step 2: Convert to fraction form
    2,763.52/4,145.70 = 914.83/x
  3. Step 3: Cross multiply
    2,763.52x = 4,145.70 × 914.83
  4. Step 4: Simplify right side
    2,763.52x = 3,792,610.73
  5. Step 5: Solve for x
    x = 3,792,610.73/2,763.52
  6. Step 6: Final answer
    x = 1,372.38

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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.