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Finding the Fourth Proportional to 1,641.52, 2,463.36 and 775.92

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Solution

The fourth proportional to 1,641.52, 2,463.36 and 775.92 is: 1,164.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,641.52 : 2,463.36 = 775.92 : x
  2. Step 2: Convert to fraction form
    1,641.52/2,463.36 = 775.92/x
  3. Step 3: Cross multiply
    1,641.52x = 2,463.36 × 775.92
  4. Step 4: Simplify right side
    1,641.52x = 1,911,370.29
  5. Step 5: Solve for x
    x = 1,911,370.29/1,641.52
  6. Step 6: Final answer
    x = 1,164.39

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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.