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Finding the Fourth Proportional to 1,634.62, 2,452.46 and 1,113.84

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Solution

The fourth proportional to 1,634.62, 2,452.46 and 1,113.84 is: 1,671.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,634.62 : 2,452.46 = 1,113.84 : x
  2. Step 2: Convert to fraction form
    1,634.62/2,452.46 = 1,113.84/x
  3. Step 3: Cross multiply
    1,634.62x = 2,452.46 × 1,113.84
  4. Step 4: Simplify right side
    1,634.62x = 2,731,648.05
  5. Step 5: Solve for x
    x = 2,731,648.05/1,634.62
  6. Step 6: Final answer
    x = 1,671.12

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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.