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Finding the Fourth Proportional to 2,230.96, 3,346.08 and 691.84

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Solution

The fourth proportional to 2,230.96, 3,346.08 and 691.84 is: 1,037.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,230.96 : 3,346.08 = 691.84 : x
  2. Step 2: Convert to fraction form
    2,230.96/3,346.08 = 691.84/x
  3. Step 3: Cross multiply
    2,230.96x = 3,346.08 × 691.84
  4. Step 4: Simplify right side
    2,230.96x = 2,314,951.99
  5. Step 5: Solve for x
    x = 2,314,951.99/2,230.96
  6. Step 6: Final answer
    x = 1,037.65

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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.