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Finding the Fourth Proportional to 1,641.44, 2,461.08 and 667.28

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Solution

The fourth proportional to 1,641.44, 2,461.08 and 667.28 is: 1,000.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,641.44 : 2,461.08 = 667.28 : x
  2. Step 2: Convert to fraction form
    1,641.44/2,461.08 = 667.28/x
  3. Step 3: Cross multiply
    1,641.44x = 2,461.08 × 667.28
  4. Step 4: Simplify right side
    1,641.44x = 1,642,229.46
  5. Step 5: Solve for x
    x = 1,642,229.46/1,641.44
  6. Step 6: Final answer
    x = 1,000.48

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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.