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Finding the Fourth Proportional to 2,726.74, 3,765.96 and 1,841

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Solution

The fourth proportional to 2,726.74, 3,765.96 and 1,841 is: 2,542.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,726.74 : 3,765.96 = 1,841 : x
  2. Step 2: Convert to fraction form
    2,726.74/3,765.96 = 1,841/x
  3. Step 3: Cross multiply
    2,726.74x = 3,765.96 × 1,841
  4. Step 4: Simplify right side
    2,726.74x = 6,933,132.36
  5. Step 5: Solve for x
    x = 6,933,132.36/2,726.74
  6. Step 6: Final answer
    x = 2,542.65

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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.