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Finding the Fourth Proportional to 1,446.14, 1,997.72 and 1,151.03

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Solution

The fourth proportional to 1,446.14, 1,997.72 and 1,151.03 is: 1,590.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,446.14 : 1,997.72 = 1,151.03 : x
  2. Step 2: Convert to fraction form
    1,446.14/1,997.72 = 1,151.03/x
  3. Step 3: Cross multiply
    1,446.14x = 1,997.72 × 1,151.03
  4. Step 4: Simplify right side
    1,446.14x = 2,299,419.91
  5. Step 5: Solve for x
    x = 2,299,419.91/1,446.14
  6. Step 6: Final answer
    x = 1,590.05

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.