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Finding the Fourth Proportional to 1,731.27, 2,596.51 and 691.08

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Solution

The fourth proportional to 1,731.27, 2,596.51 and 691.08 is: 1,036.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,731.27 : 2,596.51 = 691.08 : x
  2. Step 2: Convert to fraction form
    1,731.27/2,596.51 = 691.08/x
  3. Step 3: Cross multiply
    1,731.27x = 2,596.51 × 691.08
  4. Step 4: Simplify right side
    1,731.27x = 1,794,396.13
  5. Step 5: Solve for x
    x = 1,794,396.13/1,731.27
  6. Step 6: Final answer
    x = 1,036.46

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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.