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Finding the Fourth Proportional to 1,301.57, 1,944.03 and 1,177.97

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Solution

The fourth proportional to 1,301.57, 1,944.03 and 1,177.97 is: 1,759.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,301.57 : 1,944.03 = 1,177.97 : x
  2. Step 2: Convert to fraction form
    1,301.57/1,944.03 = 1,177.97/x
  3. Step 3: Cross multiply
    1,301.57x = 1,944.03 × 1,177.97
  4. Step 4: Simplify right side
    1,301.57x = 2,290,009.02
  5. Step 5: Solve for x
    x = 2,290,009.02/1,301.57
  6. Step 6: Final answer
    x = 1,759.43

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.