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Finding the Fourth Proportional to 1,742.60, 2,404.70 and 996.48

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Solution

The fourth proportional to 1,742.60, 2,404.70 and 996.48 is: 1,375.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,742.60 : 2,404.70 = 996.48 : x
  2. Step 2: Convert to fraction form
    1,742.60/2,404.70 = 996.48/x
  3. Step 3: Cross multiply
    1,742.60x = 2,404.70 × 996.48
  4. Step 4: Simplify right side
    1,742.60x = 2,396,235.46
  5. Step 5: Solve for x
    x = 2,396,235.46/1,742.60
  6. Step 6: Final answer
    x = 1,375.09

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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.