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Finding the Fourth Proportional to 2,947.24, 4,419.69 and 866.53

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Solution

The fourth proportional to 2,947.24, 4,419.69 and 866.53 is: 1,299.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,947.24 : 4,419.69 = 866.53 : x
  2. Step 2: Convert to fraction form
    2,947.24/4,419.69 = 866.53/x
  3. Step 3: Cross multiply
    2,947.24x = 4,419.69 × 866.53
  4. Step 4: Simplify right side
    2,947.24x = 3,829,793.98
  5. Step 5: Solve for x
    x = 3,829,793.98/2,947.24
  6. Step 6: Final answer
    x = 1,299.45

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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.