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Finding the Fourth Proportional to 2,266.50, 3,397.50 and 2,204.58

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Solution

The fourth proportional to 2,266.50, 3,397.50 and 2,204.58 is: 3,304.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,266.50 : 3,397.50 = 2,204.58 : x
  2. Step 2: Convert to fraction form
    2,266.50/3,397.50 = 2,204.58/x
  3. Step 3: Cross multiply
    2,266.50x = 3,397.50 × 2,204.58
  4. Step 4: Simplify right side
    2,266.50x = 7,490,060.55
  5. Step 5: Solve for x
    x = 7,490,060.55/2,266.50
  6. Step 6: Final answer
    x = 3,304.68

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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.