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Finding the Fourth Proportional to 2,767.60, 4,151.84 and 1,124.29

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Solution

The fourth proportional to 2,767.60, 4,151.84 and 1,124.29 is: 1,686.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,767.60 : 4,151.84 = 1,124.29 : x
  2. Step 2: Convert to fraction form
    2,767.60/4,151.84 = 1,124.29/x
  3. Step 3: Cross multiply
    2,767.60x = 4,151.84 × 1,124.29
  4. Step 4: Simplify right side
    2,767.60x = 4,667,872.19
  5. Step 5: Solve for x
    x = 4,667,872.19/2,767.60
  6. Step 6: Final answer
    x = 1,686.61

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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.