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Finding the Fourth Proportional to 2,726.69, 4,093.45 and 2,270.05

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Solution

The fourth proportional to 2,726.69, 4,093.45 and 2,270.05 is: 3,407.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,726.69 : 4,093.45 = 2,270.05 : x
  2. Step 2: Convert to fraction form
    2,726.69/4,093.45 = 2,270.05/x
  3. Step 3: Cross multiply
    2,726.69x = 4,093.45 × 2,270.05
  4. Step 4: Simplify right side
    2,726.69x = 9,292,320.26
  5. Step 5: Solve for x
    x = 9,292,320.26/2,726.69
  6. Step 6: Final answer
    x = 3,407.92

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.