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Finding the Fourth Proportional to 1,449.38, 2,171.00 and 981.14

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Solution

The fourth proportional to 1,449.38, 2,171.00 and 981.14 is: 1,469.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,449.38 : 2,171.00 = 981.14 : x
  2. Step 2: Convert to fraction form
    1,449.38/2,171.00 = 981.14/x
  3. Step 3: Cross multiply
    1,449.38x = 2,171.00 × 981.14
  4. Step 4: Simplify right side
    1,449.38x = 2,130,057.30
  5. Step 5: Solve for x
    x = 2,130,057.30/1,449.38
  6. Step 6: Final answer
    x = 1,469.63

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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.