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Finding the Fourth Proportional to 2,301.97, 3,176.80 and 1,593.96

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Solution

The fourth proportional to 2,301.97, 3,176.80 and 1,593.96 is: 2,199.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,301.97 : 3,176.80 = 1,593.96 : x
  2. Step 2: Convert to fraction form
    2,301.97/3,176.80 = 1,593.96/x
  3. Step 3: Cross multiply
    2,301.97x = 3,176.80 × 1,593.96
  4. Step 4: Simplify right side
    2,301.97x = 5,063,692.13
  5. Step 5: Solve for x
    x = 5,063,692.13/2,301.97
  6. Step 6: Final answer
    x = 2,199.72

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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.