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Finding the Fourth Proportional to 2,280.61, 3,147.20 and 1,285.87

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Solution

The fourth proportional to 2,280.61, 3,147.20 and 1,285.87 is: 1,774.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,280.61 : 3,147.20 = 1,285.87 : x
  2. Step 2: Convert to fraction form
    2,280.61/3,147.20 = 1,285.87/x
  3. Step 3: Cross multiply
    2,280.61x = 3,147.20 × 1,285.87
  4. Step 4: Simplify right side
    2,280.61x = 4,046,890.06
  5. Step 5: Solve for x
    x = 4,046,890.06/2,280.61
  6. Step 6: Final answer
    x = 1,774.48

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.