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Finding the Fourth Proportional to 2,412.86, 3,619.30 and 951.22

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Solution

The fourth proportional to 2,412.86, 3,619.30 and 951.22 is: 1,426.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,412.86 : 3,619.30 = 951.22 : x
  2. Step 2: Convert to fraction form
    2,412.86/3,619.30 = 951.22/x
  3. Step 3: Cross multiply
    2,412.86x = 3,619.30 × 951.22
  4. Step 4: Simplify right side
    2,412.86x = 3,442,750.55
  5. Step 5: Solve for x
    x = 3,442,750.55/2,412.86
  6. Step 6: Final answer
    x = 1,426.83

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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.