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Finding the Fourth Proportional to 2,726.24, 3,770.10 and 2,677.05

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Solution

The fourth proportional to 2,726.24, 3,770.10 and 2,677.05 is: 3,702.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,726.24 : 3,770.10 = 2,677.05 : x
  2. Step 2: Convert to fraction form
    2,726.24/3,770.10 = 2,677.05/x
  3. Step 3: Cross multiply
    2,726.24x = 3,770.10 × 2,677.05
  4. Step 4: Simplify right side
    2,726.24x = 10,092,746.21
  5. Step 5: Solve for x
    x = 10,092,746.21/2,726.24
  6. Step 6: Final answer
    x = 3,702.08

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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.