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Finding the Fourth Proportional to 2,162.65, 3,242.55 and 1,067.74

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Solution

The fourth proportional to 2,162.65, 3,242.55 and 1,067.74 is: 1,600.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,162.65 : 3,242.55 = 1,067.74 : x
  2. Step 2: Convert to fraction form
    2,162.65/3,242.55 = 1,067.74/x
  3. Step 3: Cross multiply
    2,162.65x = 3,242.55 × 1,067.74
  4. Step 4: Simplify right side
    2,162.65x = 3,462,200.34
  5. Step 5: Solve for x
    x = 3,462,200.34/2,162.65
  6. Step 6: Final answer
    x = 1,600.91

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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.