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Finding the Fourth Proportional to 1,642.87, 2,462.48 and 668.44

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Solution

The fourth proportional to 1,642.87, 2,462.48 and 668.44 is: 1,001.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,642.87 : 2,462.48 = 668.44 : x
  2. Step 2: Convert to fraction form
    1,642.87/2,462.48 = 668.44/x
  3. Step 3: Cross multiply
    1,642.87x = 2,462.48 × 668.44
  4. Step 4: Simplify right side
    1,642.87x = 1,646,020.13
  5. Step 5: Solve for x
    x = 1,646,020.13/1,642.87
  6. Step 6: Final answer
    x = 1,001.92

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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.