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Finding the Fourth Proportional to 2,204.61, 3,306.88 and 744.78

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Solution

The fourth proportional to 2,204.61, 3,306.88 and 744.78 is: 1,117.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,204.61 : 3,306.88 = 744.78 : x
  2. Step 2: Convert to fraction form
    2,204.61/3,306.88 = 744.78/x
  3. Step 3: Cross multiply
    2,204.61x = 3,306.88 × 744.78
  4. Step 4: Simplify right side
    2,204.61x = 2,462,898.09
  5. Step 5: Solve for x
    x = 2,462,898.09/2,204.61
  6. Step 6: Final answer
    x = 1,117.16

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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.