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Finding the Fourth Proportional to 2,815.47, 4,221.59 and 867.15

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Solution

The fourth proportional to 2,815.47, 4,221.59 and 867.15 is: 1,300.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,815.47 : 4,221.59 = 867.15 : x
  2. Step 2: Convert to fraction form
    2,815.47/4,221.59 = 867.15/x
  3. Step 3: Cross multiply
    2,815.47x = 4,221.59 × 867.15
  4. Step 4: Simplify right side
    2,815.47x = 3,660,747.43
  5. Step 5: Solve for x
    x = 3,660,747.43/2,815.47
  6. Step 6: Final answer
    x = 1,300.23

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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.