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Finding the Fourth Proportional to 2,228.72, 3,343.12 and 689.76

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Solution

The fourth proportional to 2,228.72, 3,343.12 and 689.76 is: 1,034.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,228.72 : 3,343.12 = 689.76 : x
  2. Step 2: Convert to fraction form
    2,228.72/3,343.12 = 689.76/x
  3. Step 3: Cross multiply
    2,228.72x = 3,343.12 × 689.76
  4. Step 4: Simplify right side
    2,228.72x = 2,305,950.45
  5. Step 5: Solve for x
    x = 2,305,950.45/2,228.72
  6. Step 6: Final answer
    x = 1,034.65

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.