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Finding the Fourth Proportional to 2,425.74, 3,344.87 and 1,638.42

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Solution

The fourth proportional to 2,425.74, 3,344.87 and 1,638.42 is: 2,259.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,425.74 : 3,344.87 = 1,638.42 : x
  2. Step 2: Convert to fraction form
    2,425.74/3,344.87 = 1,638.42/x
  3. Step 3: Cross multiply
    2,425.74x = 3,344.87 × 1,638.42
  4. Step 4: Simplify right side
    2,425.74x = 5,480,293.71
  5. Step 5: Solve for x
    x = 5,480,293.71/2,425.74
  6. Step 6: Final answer
    x = 2,259.23

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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.