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Finding the Fourth Proportional to 2,308.24, 3,462.33 and 847.18

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Solution

The fourth proportional to 2,308.24, 3,462.33 and 847.18 is: 1,270.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,308.24 : 3,462.33 = 847.18 : x
  2. Step 2: Convert to fraction form
    2,308.24/3,462.33 = 847.18/x
  3. Step 3: Cross multiply
    2,308.24x = 3,462.33 × 847.18
  4. Step 4: Simplify right side
    2,308.24x = 2,933,216.73
  5. Step 5: Solve for x
    x = 2,933,216.73/2,308.24
  6. Step 6: Final answer
    x = 1,270.76

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.