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Finding the Fourth Proportional to 2,187.93, 3,280.80 and 726.57

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Solution

The fourth proportional to 2,187.93, 3,280.80 and 726.57 is: 1,089.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,187.93 : 3,280.80 = 726.57 : x
  2. Step 2: Convert to fraction form
    2,187.93/3,280.80 = 726.57/x
  3. Step 3: Cross multiply
    2,187.93x = 3,280.80 × 726.57
  4. Step 4: Simplify right side
    2,187.93x = 2,383,730.86
  5. Step 5: Solve for x
    x = 2,383,730.86/2,187.93
  6. Step 6: Final answer
    x = 1,089.49

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Why These Related Problems?

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