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Finding the Fourth Proportional to 2,308.44, 3,462.28 and 847.24

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Solution

The fourth proportional to 2,308.44, 3,462.28 and 847.24 is: 1,270.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,308.44 : 3,462.28 = 847.24 : x
  2. Step 2: Convert to fraction form
    2,308.44/3,462.28 = 847.24/x
  3. Step 3: Cross multiply
    2,308.44x = 3,462.28 × 847.24
  4. Step 4: Simplify right side
    2,308.44x = 2,933,382.11
  5. Step 5: Solve for x
    x = 2,933,382.11/2,308.44
  6. Step 6: Final answer
    x = 1,270.72

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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.