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Finding the Fourth Proportional to 2,392.13, 3,301.14 and 1,344.20

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Solution

The fourth proportional to 2,392.13, 3,301.14 and 1,344.20 is: 1,854.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,392.13 : 3,301.14 = 1,344.20 : x
  2. Step 2: Convert to fraction form
    2,392.13/3,301.14 = 1,344.20/x
  3. Step 3: Cross multiply
    2,392.13x = 3,301.14 × 1,344.20
  4. Step 4: Simplify right side
    2,392.13x = 4,437,375.88
  5. Step 5: Solve for x
    x = 4,437,375.88/2,392.13
  6. Step 6: Final answer
    x = 1,854.99

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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.