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Finding the Fourth Proportional to 2,280.93, 3,147.78 and 1,286.24

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Solution

The fourth proportional to 2,280.93, 3,147.78 and 1,286.24 is: 1,775.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,280.93 : 3,147.78 = 1,286.24 : x
  2. Step 2: Convert to fraction form
    2,280.93/3,147.78 = 1,286.24/x
  3. Step 3: Cross multiply
    2,280.93x = 3,147.78 × 1,286.24
  4. Step 4: Simplify right side
    2,280.93x = 4,048,784.81
  5. Step 5: Solve for x
    x = 4,048,784.81/2,280.93
  6. Step 6: Final answer
    x = 1,775.06

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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.