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Finding the Fourth Proportional to 1,691.57, 2,537.96 and 1,041.54

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Solution

The fourth proportional to 1,691.57, 2,537.96 and 1,041.54 is: 1,562.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,691.57 : 2,537.96 = 1,041.54 : x
  2. Step 2: Convert to fraction form
    1,691.57/2,537.96 = 1,041.54/x
  3. Step 3: Cross multiply
    1,691.57x = 2,537.96 × 1,041.54
  4. Step 4: Simplify right side
    1,691.57x = 2,643,381.65
  5. Step 5: Solve for x
    x = 2,643,381.65/1,691.57
  6. Step 6: Final answer
    x = 1,562.68

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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.