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Finding the Fourth Proportional to 1,641.69, 2,462.52 and 667.77

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Solution

The fourth proportional to 1,641.69, 2,462.52 and 667.77 is: 1,001.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,641.69 : 2,462.52 = 667.77 : x
  2. Step 2: Convert to fraction form
    1,641.69/2,462.52 = 667.77/x
  3. Step 3: Cross multiply
    1,641.69x = 2,462.52 × 667.77
  4. Step 4: Simplify right side
    1,641.69x = 1,644,396.98
  5. Step 5: Solve for x
    x = 1,644,396.98/1,641.69
  6. Step 6: Final answer
    x = 1,001.65

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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.