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Finding the Fourth Proportional to 2,726.30, 4,087.02 and 2,267.84

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Solution

The fourth proportional to 2,726.30, 4,087.02 and 2,267.84 is: 3,399.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,726.30 : 4,087.02 = 2,267.84 : x
  2. Step 2: Convert to fraction form
    2,726.30/4,087.02 = 2,267.84/x
  3. Step 3: Cross multiply
    2,726.30x = 4,087.02 × 2,267.84
  4. Step 4: Simplify right side
    2,726.30x = 9,268,707.44
  5. Step 5: Solve for x
    x = 9,268,707.44/2,726.30
  6. Step 6: Final answer
    x = 3,399.74

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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.