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Finding the Fourth Proportional to 2,104.80, 3,157.17 and 565.80

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Solution

The fourth proportional to 2,104.80, 3,157.17 and 565.80 is: 848.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,104.80 : 3,157.17 = 565.80 : x
  2. Step 2: Convert to fraction form
    2,104.80/3,157.17 = 565.80/x
  3. Step 3: Cross multiply
    2,104.80x = 3,157.17 × 565.80
  4. Step 4: Simplify right side
    2,104.80x = 1,786,326.79
  5. Step 5: Solve for x
    x = 1,786,326.79/2,104.80
  6. Step 6: Final answer
    x = 848.69

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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.