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Finding the Fourth Proportional to 1,632.55, 2,449.17 and 766.39

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Solution

The fourth proportional to 1,632.55, 2,449.17 and 766.39 is: 1,149.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,632.55 : 2,449.17 = 766.39 : x
  2. Step 2: Convert to fraction form
    1,632.55/2,449.17 = 766.39/x
  3. Step 3: Cross multiply
    1,632.55x = 2,449.17 × 766.39
  4. Step 4: Simplify right side
    1,632.55x = 1,877,019.40
  5. Step 5: Solve for x
    x = 1,877,019.40/1,632.55
  6. Step 6: Final answer
    x = 1,149.75

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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.