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Finding the Fourth Proportional to 3,275.40, 4,911.42 and 966.60

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Solution

The fourth proportional to 3,275.40, 4,911.42 and 966.60 is: 1,449.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,275.40 : 4,911.42 = 966.60 : x
  2. Step 2: Convert to fraction form
    3,275.40/4,911.42 = 966.60/x
  3. Step 3: Cross multiply
    3,275.40x = 4,911.42 × 966.60
  4. Step 4: Simplify right side
    3,275.40x = 4,747,378.57
  5. Step 5: Solve for x
    x = 4,747,378.57/3,275.40
  6. Step 6: Final answer
    x = 1,449.40

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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.