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Finding the Fourth Proportional to 2,451.52, 3,672.24 and 1,828

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Solution

The fourth proportional to 2,451.52, 3,672.24 and 1,828 is: 2,738.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,451.52 : 3,672.24 = 1,828 : x
  2. Step 2: Convert to fraction form
    2,451.52/3,672.24 = 1,828/x
  3. Step 3: Cross multiply
    2,451.52x = 3,672.24 × 1,828
  4. Step 4: Simplify right side
    2,451.52x = 6,712,854.72
  5. Step 5: Solve for x
    x = 6,712,854.72/2,451.52
  6. Step 6: Final answer
    x = 2,738.24

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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.