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Finding the Fourth Proportional to 2,972.85, 4,459.34 and 998.47

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Solution

The fourth proportional to 2,972.85, 4,459.34 and 998.47 is: 1,497.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,972.85 : 4,459.34 = 998.47 : x
  2. Step 2: Convert to fraction form
    2,972.85/4,459.34 = 998.47/x
  3. Step 3: Cross multiply
    2,972.85x = 4,459.34 × 998.47
  4. Step 4: Simplify right side
    2,972.85x = 4,452,517.21
  5. Step 5: Solve for x
    x = 4,452,517.21/2,972.85
  6. Step 6: Final answer
    x = 1,497.73

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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.