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Finding the Fourth Proportional to 1,742.45, 2,404.22 and 996.65

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Solution

The fourth proportional to 1,742.45, 2,404.22 and 996.65 is: 1,375.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,742.45 : 2,404.22 = 996.65 : x
  2. Step 2: Convert to fraction form
    1,742.45/2,404.22 = 996.65/x
  3. Step 3: Cross multiply
    1,742.45x = 2,404.22 × 996.65
  4. Step 4: Simplify right side
    1,742.45x = 2,396,165.86
  5. Step 5: Solve for x
    x = 2,396,165.86/1,742.45
  6. Step 6: Final answer
    x = 1,375.17

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