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Finding the Fourth Proportional to 2,849.66, 4,274.48 and 2,276.18

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Solution

The fourth proportional to 2,849.66, 4,274.48 and 2,276.18 is: 3,414.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,849.66 : 4,274.48 = 2,276.18 : x
  2. Step 2: Convert to fraction form
    2,849.66/4,274.48 = 2,276.18/x
  3. Step 3: Cross multiply
    2,849.66x = 4,274.48 × 2,276.18
  4. Step 4: Simplify right side
    2,849.66x = 9,729,470.20
  5. Step 5: Solve for x
    x = 9,729,470.20/2,849.66
  6. Step 6: Final answer
    x = 3,414.26

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.