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Finding the Fourth Proportional to 2,179.59, 3,269.36 and 947.88

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Solution

The fourth proportional to 2,179.59, 3,269.36 and 947.88 is: 1,421.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,179.59 : 3,269.36 = 947.88 : x
  2. Step 2: Convert to fraction form
    2,179.59/3,269.36 = 947.88/x
  3. Step 3: Cross multiply
    2,179.59x = 3,269.36 × 947.88
  4. Step 4: Simplify right side
    2,179.59x = 3,098,960.96
  5. Step 5: Solve for x
    x = 3,098,960.96/2,179.59
  6. Step 6: Final answer
    x = 1,421.81

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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.