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Finding the Fourth Proportional to 2,806, 4,211.28 and 2,397.76

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Solution

The fourth proportional to 2,806, 4,211.28 and 2,397.76 is: 3,598.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,806 : 4,211.28 = 2,397.76 : x
  2. Step 2: Convert to fraction form
    2,806/4,211.28 = 2,397.76/x
  3. Step 3: Cross multiply
    2,806x = 4,211.28 × 2,397.76
  4. Step 4: Simplify right side
    2,806x = 10,097,638.73
  5. Step 5: Solve for x
    x = 10,097,638.73/2,806
  6. Step 6: Final answer
    x = 3,598.59

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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.