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Finding the Fourth Proportional to 2,342.97, 3,233.39 and 1,295.01

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Solution

The fourth proportional to 2,342.97, 3,233.39 and 1,295.01 is: 1,787.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,342.97 : 3,233.39 = 1,295.01 : x
  2. Step 2: Convert to fraction form
    2,342.97/3,233.39 = 1,295.01/x
  3. Step 3: Cross multiply
    2,342.97x = 3,233.39 × 1,295.01
  4. Step 4: Simplify right side
    2,342.97x = 4,187,265.91
  5. Step 5: Solve for x
    x = 4,187,265.91/2,342.97
  6. Step 6: Final answer
    x = 1,787.16

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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.