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Finding the Fourth Proportional to 2,726.52, 3,761.40 and 1,842

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Solution

The fourth proportional to 2,726.52, 3,761.40 and 1,842 is: 2,541.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,726.52 : 3,761.40 = 1,842 : x
  2. Step 2: Convert to fraction form
    2,726.52/3,761.40 = 1,842/x
  3. Step 3: Cross multiply
    2,726.52x = 3,761.40 × 1,842
  4. Step 4: Simplify right side
    2,726.52x = 6,928,498.80
  5. Step 5: Solve for x
    x = 6,928,498.80/2,726.52
  6. Step 6: Final answer
    x = 2,541.15

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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.