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Finding the Fourth Proportional to 1,838.80, 2,759.52 and 743.46

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Solution

The fourth proportional to 1,838.80, 2,759.52 and 743.46 is: 1,115.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,838.80 : 2,759.52 = 743.46 : x
  2. Step 2: Convert to fraction form
    1,838.80/2,759.52 = 743.46/x
  3. Step 3: Cross multiply
    1,838.80x = 2,759.52 × 743.46
  4. Step 4: Simplify right side
    1,838.80x = 2,051,592.74
  5. Step 5: Solve for x
    x = 2,051,592.74/1,838.80
  6. Step 6: Final answer
    x = 1,115.72

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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.