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Finding the Fourth Proportional to 1,641.16, 2,461.70 and 667.92

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Solution

The fourth proportional to 1,641.16, 2,461.70 and 667.92 is: 1,001.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,641.16 : 2,461.70 = 667.92 : x
  2. Step 2: Convert to fraction form
    1,641.16/2,461.70 = 667.92/x
  3. Step 3: Cross multiply
    1,641.16x = 2,461.70 × 667.92
  4. Step 4: Simplify right side
    1,641.16x = 1,644,218.66
  5. Step 5: Solve for x
    x = 1,644,218.66/1,641.16
  6. Step 6: Final answer
    x = 1,001.86

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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.