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Finding the Fourth Proportional to 2,402.73, 3,604.20 and 1,171.17

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Solution

The fourth proportional to 2,402.73, 3,604.20 and 1,171.17 is: 1,756.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,402.73 : 3,604.20 = 1,171.17 : x
  2. Step 2: Convert to fraction form
    2,402.73/3,604.20 = 1,171.17/x
  3. Step 3: Cross multiply
    2,402.73x = 3,604.20 × 1,171.17
  4. Step 4: Simplify right side
    2,402.73x = 4,221,130.91
  5. Step 5: Solve for x
    x = 4,221,130.91/2,402.73
  6. Step 6: Final answer
    x = 1,756.81

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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.