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Finding the Fourth Proportional to 2,273.06, 3,411.04 and 2,254.52

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Solution

The fourth proportional to 2,273.06, 3,411.04 and 2,254.52 is: 3,383.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,273.06 : 3,411.04 = 2,254.52 : x
  2. Step 2: Convert to fraction form
    2,273.06/3,411.04 = 2,254.52/x
  3. Step 3: Cross multiply
    2,273.06x = 3,411.04 × 2,254.52
  4. Step 4: Simplify right side
    2,273.06x = 7,690,257.90
  5. Step 5: Solve for x
    x = 7,690,257.90/2,273.06
  6. Step 6: Final answer
    x = 3,383.22

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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.