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Finding the Fourth Proportional to 1,641.18, 2,461.86 and 667.16

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Solution

The fourth proportional to 1,641.18, 2,461.86 and 667.16 is: 1,000.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,641.18 : 2,461.86 = 667.16 : x
  2. Step 2: Convert to fraction form
    1,641.18/2,461.86 = 667.16/x
  3. Step 3: Cross multiply
    1,641.18x = 2,461.86 × 667.16
  4. Step 4: Simplify right side
    1,641.18x = 1,642,454.52
  5. Step 5: Solve for x
    x = 1,642,454.52/1,641.18
  6. Step 6: Final answer
    x = 1,000.78

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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.