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Finding the Fourth Proportional to 1,693.65, 2,540.11 and 461.08

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Solution

The fourth proportional to 1,693.65, 2,540.11 and 461.08 is: 691.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,693.65 : 2,540.11 = 461.08 : x
  2. Step 2: Convert to fraction form
    1,693.65/2,540.11 = 461.08/x
  3. Step 3: Cross multiply
    1,693.65x = 2,540.11 × 461.08
  4. Step 4: Simplify right side
    1,693.65x = 1,171,193.92
  5. Step 5: Solve for x
    x = 1,171,193.92/1,693.65
  6. Step 6: Final answer
    x = 691.52

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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.