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Finding the Fourth Proportional to 2,806.93, 4,209.36 and 932.48

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Solution

The fourth proportional to 2,806.93, 4,209.36 and 932.48 is: 1,398.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,806.93 : 4,209.36 = 932.48 : x
  2. Step 2: Convert to fraction form
    2,806.93/4,209.36 = 932.48/x
  3. Step 3: Cross multiply
    2,806.93x = 4,209.36 × 932.48
  4. Step 4: Simplify right side
    2,806.93x = 3,925,144.01
  5. Step 5: Solve for x
    x = 3,925,144.01/2,806.93
  6. Step 6: Final answer
    x = 1,398.38

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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.