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Finding the Fourth Proportional to 2,806.65, 4,209.50 and 832.24

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Solution

The fourth proportional to 2,806.65, 4,209.50 and 832.24 is: 1,248.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,806.65 : 4,209.50 = 832.24 : x
  2. Step 2: Convert to fraction form
    2,806.65/4,209.50 = 832.24/x
  3. Step 3: Cross multiply
    2,806.65x = 4,209.50 × 832.24
  4. Step 4: Simplify right side
    2,806.65x = 3,503,289.07
  5. Step 5: Solve for x
    x = 3,503,289.07/2,806.65
  6. Step 6: Final answer
    x = 1,248.21

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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.