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Finding the Fourth Proportional to 2,806.88, 4,209.39 and 932.35

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Solution

The fourth proportional to 2,806.88, 4,209.39 and 932.35 is: 1,398.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,806.88 : 4,209.39 = 932.35 : x
  2. Step 2: Convert to fraction form
    2,806.88/4,209.39 = 932.35/x
  3. Step 3: Cross multiply
    2,806.88x = 4,209.39 × 932.35
  4. Step 4: Simplify right side
    2,806.88x = 3,924,618.84
  5. Step 5: Solve for x
    x = 3,924,618.84/2,806.88
  6. Step 6: Final answer
    x = 1,398.21

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.