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Finding the Fourth Proportional to 2,187.15, 3,280.38 and 726.31

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Solution

The fourth proportional to 2,187.15, 3,280.38 and 726.31 is: 1,089.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,187.15 : 3,280.38 = 726.31 : x
  2. Step 2: Convert to fraction form
    2,187.15/3,280.38 = 726.31/x
  3. Step 3: Cross multiply
    2,187.15x = 3,280.38 × 726.31
  4. Step 4: Simplify right side
    2,187.15x = 2,382,572.80
  5. Step 5: Solve for x
    x = 2,382,572.80/2,187.15
  6. Step 6: Final answer
    x = 1,089.35

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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.