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Finding the Fourth Proportional to 2,208.62, 3,312.88 and 565.23

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Solution

The fourth proportional to 2,208.62, 3,312.88 and 565.23 is: 847.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,208.62 : 3,312.88 = 565.23 : x
  2. Step 2: Convert to fraction form
    2,208.62/3,312.88 = 565.23/x
  3. Step 3: Cross multiply
    2,208.62x = 3,312.88 × 565.23
  4. Step 4: Simplify right side
    2,208.62x = 1,872,537.75
  5. Step 5: Solve for x
    x = 1,872,537.75/2,208.62
  6. Step 6: Final answer
    x = 847.83

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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.