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Finding the Fourth Proportional to 2,280.15, 3,200.85 and 2,280.15

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Solution

The fourth proportional to 2,280.15, 3,200.85 and 2,280.15 is: 3,200.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,280.15 : 3,200.85 = 2,280.15 : x
  2. Step 2: Convert to fraction form
    2,280.15/3,200.85 = 2,280.15/x
  3. Step 3: Cross multiply
    2,280.15x = 3,200.85 × 2,280.15
  4. Step 4: Simplify right side
    2,280.15x = 7,298,418.13
  5. Step 5: Solve for x
    x = 7,298,418.13/2,280.15
  6. Step 6: Final answer
    x = 3,200.85

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These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.