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Finding the Fourth Proportional to 1,742.42, 2,404.53 and 996.51

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Solution

The fourth proportional to 1,742.42, 2,404.53 and 996.51 is: 1,375.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,742.42 : 2,404.53 = 996.51 : x
  2. Step 2: Convert to fraction form
    1,742.42/2,404.53 = 996.51/x
  3. Step 3: Cross multiply
    1,742.42x = 2,404.53 × 996.51
  4. Step 4: Simplify right side
    1,742.42x = 2,396,137.82
  5. Step 5: Solve for x
    x = 2,396,137.82/1,742.42
  6. Step 6: Final answer
    x = 1,375.18

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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.