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Finding the Fourth Proportional to 3,089, 4,262.82 and 1,691.78

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Solution

The fourth proportional to 3,089, 4,262.82 and 1,691.78 is: 2,334.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,089 : 4,262.82 = 1,691.78 : x
  2. Step 2: Convert to fraction form
    3,089/4,262.82 = 1,691.78/x
  3. Step 3: Cross multiply
    3,089x = 4,262.82 × 1,691.78
  4. Step 4: Simplify right side
    3,089x = 7,211,753.62
  5. Step 5: Solve for x
    x = 7,211,753.62/3,089
  6. Step 6: Final answer
    x = 2,334.66

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.