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Finding the Fourth Proportional to 2,947.18, 4,421.35 and 972.73

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Solution

The fourth proportional to 2,947.18, 4,421.35 and 972.73 is: 1,459.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,947.18 : 4,421.35 = 972.73 : x
  2. Step 2: Convert to fraction form
    2,947.18/4,421.35 = 972.73/x
  3. Step 3: Cross multiply
    2,947.18x = 4,421.35 × 972.73
  4. Step 4: Simplify right side
    2,947.18x = 4,300,791.69
  5. Step 5: Solve for x
    x = 4,300,791.69/2,947.18
  6. Step 6: Final answer
    x = 1,459.29

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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.