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Finding the Fourth Proportional to 2,425.71, 3,347.28 and 1,431.03

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Solution

The fourth proportional to 2,425.71, 3,347.28 and 1,431.03 is: 1,974.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,425.71 : 3,347.28 = 1,431.03 : x
  2. Step 2: Convert to fraction form
    2,425.71/3,347.28 = 1,431.03/x
  3. Step 3: Cross multiply
    2,425.71x = 3,347.28 × 1,431.03
  4. Step 4: Simplify right side
    2,425.71x = 4,790,058.10
  5. Step 5: Solve for x
    x = 4,790,058.10/2,425.71
  6. Step 6: Final answer
    x = 1,974.70

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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.