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Finding the Fourth Proportional to 2,187.18, 3,280.82 and 800.55

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Solution

The fourth proportional to 2,187.18, 3,280.82 and 800.55 is: 1,200.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,187.18 : 3,280.82 = 800.55 : x
  2. Step 2: Convert to fraction form
    2,187.18/3,280.82 = 800.55/x
  3. Step 3: Cross multiply
    2,187.18x = 3,280.82 × 800.55
  4. Step 4: Simplify right side
    2,187.18x = 2,626,456.45
  5. Step 5: Solve for x
    x = 2,626,456.45/2,187.18
  6. Step 6: Final answer
    x = 1,200.84

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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.