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Finding the Fourth Proportional to 2,920.12, 4,026 and 2,174.92

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Solution

The fourth proportional to 2,920.12, 4,026 and 2,174.92 is: 2,998.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,920.12 : 4,026 = 2,174.92 : x
  2. Step 2: Convert to fraction form
    2,920.12/4,026 = 2,174.92/x
  3. Step 3: Cross multiply
    2,920.12x = 4,026 × 2,174.92
  4. Step 4: Simplify right side
    2,920.12x = 8,756,227.92
  5. Step 5: Solve for x
    x = 8,756,227.92/2,920.12
  6. Step 6: Final answer
    x = 2,998.58

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.