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Finding the Fourth Proportional to 2,104.89, 3,157.32 and 565.89

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Solution

The fourth proportional to 2,104.89, 3,157.32 and 565.89 is: 848.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,104.89 : 3,157.32 = 565.89 : x
  2. Step 2: Convert to fraction form
    2,104.89/3,157.32 = 565.89/x
  3. Step 3: Cross multiply
    2,104.89x = 3,157.32 × 565.89
  4. Step 4: Simplify right side
    2,104.89x = 1,786,695.81
  5. Step 5: Solve for x
    x = 1,786,695.81/2,104.89
  6. Step 6: Final answer
    x = 848.83

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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.