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Finding the Fourth Proportional to 1,446.77, 1,997.42 and 1,114.55

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Solution

The fourth proportional to 1,446.77, 1,997.42 and 1,114.55 is: 1,538.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,446.77 : 1,997.42 = 1,114.55 : x
  2. Step 2: Convert to fraction form
    1,446.77/1,997.42 = 1,114.55/x
  3. Step 3: Cross multiply
    1,446.77x = 1,997.42 × 1,114.55
  4. Step 4: Simplify right side
    1,446.77x = 2,226,208.90
  5. Step 5: Solve for x
    x = 2,226,208.90/1,446.77
  6. Step 6: Final answer
    x = 1,538.75

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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.