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Finding the Fourth Proportional to 1,613.57, 2,419.77 and 689.23

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Solution

The fourth proportional to 1,613.57, 2,419.77 and 689.23 is: 1,033.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,613.57 : 2,419.77 = 689.23 : x
  2. Step 2: Convert to fraction form
    1,613.57/2,419.77 = 689.23/x
  3. Step 3: Cross multiply
    1,613.57x = 2,419.77 × 689.23
  4. Step 4: Simplify right side
    1,613.57x = 1,667,778.08
  5. Step 5: Solve for x
    x = 1,667,778.08/1,613.57
  6. Step 6: Final answer
    x = 1,033.60

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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.