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Finding the Fourth Proportional to 2,726.65, 3,764.59 and 1,842.13

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Solution

The fourth proportional to 2,726.65, 3,764.59 and 1,842.13 is: 2,543.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,726.65 : 3,764.59 = 1,842.13 : x
  2. Step 2: Convert to fraction form
    2,726.65/3,764.59 = 1,842.13/x
  3. Step 3: Cross multiply
    2,726.65x = 3,764.59 × 1,842.13
  4. Step 4: Simplify right side
    2,726.65x = 6,934,874.64
  5. Step 5: Solve for x
    x = 6,934,874.64/2,726.65
  6. Step 6: Final answer
    x = 2,543.37

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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.