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Finding the Fourth Proportional to 2,287.96, 3,432.35 and 829.15

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Solution

The fourth proportional to 2,287.96, 3,432.35 and 829.15 is: 1,243.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,287.96 : 3,432.35 = 829.15 : x
  2. Step 2: Convert to fraction form
    2,287.96/3,432.35 = 829.15/x
  3. Step 3: Cross multiply
    2,287.96x = 3,432.35 × 829.15
  4. Step 4: Simplify right side
    2,287.96x = 2,845,928.86
  5. Step 5: Solve for x
    x = 2,845,928.86/2,287.96
  6. Step 6: Final answer
    x = 1,243.87

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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.