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Finding the Fourth Proportional to 3,164.65, 4,747.77 and 1,432.81

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Solution

The fourth proportional to 3,164.65, 4,747.77 and 1,432.81 is: 2,149.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,164.65 : 4,747.77 = 1,432.81 : x
  2. Step 2: Convert to fraction form
    3,164.65/4,747.77 = 1,432.81/x
  3. Step 3: Cross multiply
    3,164.65x = 4,747.77 × 1,432.81
  4. Step 4: Simplify right side
    3,164.65x = 6,802,652.33
  5. Step 5: Solve for x
    x = 6,802,652.33/3,164.65
  6. Step 6: Final answer
    x = 2,149.57

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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.