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Finding the Fourth Proportional to 2,287.52, 3,429.79 and 1,505.15

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Solution

The fourth proportional to 2,287.52, 3,429.79 and 1,505.15 is: 2,256.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,287.52 : 3,429.79 = 1,505.15 : x
  2. Step 2: Convert to fraction form
    2,287.52/3,429.79 = 1,505.15/x
  3. Step 3: Cross multiply
    2,287.52x = 3,429.79 × 1,505.15
  4. Step 4: Simplify right side
    2,287.52x = 5,162,348.83
  5. Step 5: Solve for x
    x = 5,162,348.83/2,287.52
  6. Step 6: Final answer
    x = 2,256.75

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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.