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Finding the Fourth Proportional to 1,641.90, 2,461.77 and 667.02

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Solution

The fourth proportional to 1,641.90, 2,461.77 and 667.02 is: 1,000.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,641.90 : 2,461.77 = 667.02 : x
  2. Step 2: Convert to fraction form
    1,641.90/2,461.77 = 667.02/x
  3. Step 3: Cross multiply
    1,641.90x = 2,461.77 × 667.02
  4. Step 4: Simplify right side
    1,641.90x = 1,642,049.83
  5. Step 5: Solve for x
    x = 1,642,049.83/1,641.90
  6. Step 6: Final answer
    x = 1,000.09

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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.