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Finding the Fourth Proportional to 2,250.32, 3,105.02 and 1,306.22

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Solution

The fourth proportional to 2,250.32, 3,105.02 and 1,306.22 is: 1,802.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,250.32 : 3,105.02 = 1,306.22 : x
  2. Step 2: Convert to fraction form
    2,250.32/3,105.02 = 1,306.22/x
  3. Step 3: Cross multiply
    2,250.32x = 3,105.02 × 1,306.22
  4. Step 4: Simplify right side
    2,250.32x = 4,055,826.96
  5. Step 5: Solve for x
    x = 4,055,826.96/2,250.32
  6. Step 6: Final answer
    x = 1,802.34

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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.