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Finding the Fourth Proportional to 2,425.41, 3,346.92 and 1,431

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Solution

The fourth proportional to 2,425.41, 3,346.92 and 1,431 is: 1,974.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,425.41 : 3,346.92 = 1,431 : x
  2. Step 2: Convert to fraction form
    2,425.41/3,346.92 = 1,431/x
  3. Step 3: Cross multiply
    2,425.41x = 3,346.92 × 1,431
  4. Step 4: Simplify right side
    2,425.41x = 4,789,442.52
  5. Step 5: Solve for x
    x = 4,789,442.52/2,425.41
  6. Step 6: Final answer
    x = 1,974.69

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.