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Finding the Fourth Proportional to 2,113.86, 3,169.44 and 1,016.04

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Solution

The fourth proportional to 2,113.86, 3,169.44 and 1,016.04 is: 1,523.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,113.86 : 3,169.44 = 1,016.04 : x
  2. Step 2: Convert to fraction form
    2,113.86/3,169.44 = 1,016.04/x
  3. Step 3: Cross multiply
    2,113.86x = 3,169.44 × 1,016.04
  4. Step 4: Simplify right side
    2,113.86x = 3,220,277.82
  5. Step 5: Solve for x
    x = 3,220,277.82/2,113.86
  6. Step 6: Final answer
    x = 1,523.41

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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.