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Finding the Fourth Proportional to 1,743.85, 2,616.15 and 866.83

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Solution

The fourth proportional to 1,743.85, 2,616.15 and 866.83 is: 1,300.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,743.85 : 2,616.15 = 866.83 : x
  2. Step 2: Convert to fraction form
    1,743.85/2,616.15 = 866.83/x
  3. Step 3: Cross multiply
    1,743.85x = 2,616.15 × 866.83
  4. Step 4: Simplify right side
    1,743.85x = 2,267,757.30
  5. Step 5: Solve for x
    x = 2,267,757.30/1,743.85
  6. Step 6: Final answer
    x = 1,300.43

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1.5x scale

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.