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Finding the Fourth Proportional to 1,641.68, 2,462.96 and 667.25

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Solution

The fourth proportional to 1,641.68, 2,462.96 and 667.25 is: 1,001.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,641.68 : 2,462.96 = 667.25 : x
  2. Step 2: Convert to fraction form
    1,641.68/2,462.96 = 667.25/x
  3. Step 3: Cross multiply
    1,641.68x = 2,462.96 × 667.25
  4. Step 4: Simplify right side
    1,641.68x = 1,643,410.06
  5. Step 5: Solve for x
    x = 1,643,410.06/1,641.68
  6. Step 6: Final answer
    x = 1,001.05

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.