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Finding the Fourth Proportional to 2,327.04, 3,489.75 and 766.62

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Solution

The fourth proportional to 2,327.04, 3,489.75 and 766.62 is: 1,149.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,327.04 : 3,489.75 = 766.62 : x
  2. Step 2: Convert to fraction form
    2,327.04/3,489.75 = 766.62/x
  3. Step 3: Cross multiply
    2,327.04x = 3,489.75 × 766.62
  4. Step 4: Simplify right side
    2,327.04x = 2,675,312.15
  5. Step 5: Solve for x
    x = 2,675,312.15/2,327.04
  6. Step 6: Final answer
    x = 1,149.66

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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.