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Finding the Fourth Proportional to 2,187.40, 3,280.16 and 800.28

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Solution

The fourth proportional to 2,187.40, 3,280.16 and 800.28 is: 1,200.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,187.40 : 3,280.16 = 800.28 : x
  2. Step 2: Convert to fraction form
    2,187.40/3,280.16 = 800.28/x
  3. Step 3: Cross multiply
    2,187.40x = 3,280.16 × 800.28
  4. Step 4: Simplify right side
    2,187.40x = 2,625,046.44
  5. Step 5: Solve for x
    x = 2,625,046.44/2,187.40
  6. Step 6: Final answer
    x = 1,200.08

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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.