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Finding the Fourth Proportional to 2,204.48, 3,303.48 and 1,229.24

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Solution

The fourth proportional to 2,204.48, 3,303.48 and 1,229.24 is: 1,842.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,204.48 : 3,303.48 = 1,229.24 : x
  2. Step 2: Convert to fraction form
    2,204.48/3,303.48 = 1,229.24/x
  3. Step 3: Cross multiply
    2,204.48x = 3,303.48 × 1,229.24
  4. Step 4: Simplify right side
    2,204.48x = 4,060,769.76
  5. Step 5: Solve for x
    x = 4,060,769.76/2,204.48
  6. Step 6: Final answer
    x = 1,842.05

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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.