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Finding the Fourth Proportional to 2,273.52, 3,143.09 and 2,252.76

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Solution

The fourth proportional to 2,273.52, 3,143.09 and 2,252.76 is: 3,114.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,273.52 : 3,143.09 = 2,252.76 : x
  2. Step 2: Convert to fraction form
    2,273.52/3,143.09 = 2,252.76/x
  3. Step 3: Cross multiply
    2,273.52x = 3,143.09 × 2,252.76
  4. Step 4: Simplify right side
    2,273.52x = 7,080,627.43
  5. Step 5: Solve for x
    x = 7,080,627.43/2,273.52
  6. Step 6: Final answer
    x = 3,114.40

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Why These Related Problems?

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