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Finding the Fourth Proportional to 3,402.74, 5,103.14 and 1,322.30

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Solution

The fourth proportional to 3,402.74, 5,103.14 and 1,322.30 is: 1,983.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,402.74 : 5,103.14 = 1,322.30 : x
  2. Step 2: Convert to fraction form
    3,402.74/5,103.14 = 1,322.30/x
  3. Step 3: Cross multiply
    3,402.74x = 5,103.14 × 1,322.30
  4. Step 4: Simplify right side
    3,402.74x = 6,747,882.02
  5. Step 5: Solve for x
    x = 6,747,882.02/3,402.74
  6. Step 6: Final answer
    x = 1,983.07

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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.