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Finding the Fourth Proportional to 3,115.76, 4,293.84 and 2,230.02

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Solution

The fourth proportional to 3,115.76, 4,293.84 and 2,230.02 is: 3,073.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,115.76 : 4,293.84 = 2,230.02 : x
  2. Step 2: Convert to fraction form
    3,115.76/4,293.84 = 2,230.02/x
  3. Step 3: Cross multiply
    3,115.76x = 4,293.84 × 2,230.02
  4. Step 4: Simplify right side
    3,115.76x = 9,575,349.08
  5. Step 5: Solve for x
    x = 9,575,349.08/3,115.76
  6. Step 6: Final answer
    x = 3,073.20

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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.