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Finding the Fourth Proportional to 2,473.44, 3,711.62 and 914.55

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Solution

The fourth proportional to 2,473.44, 3,711.62 and 914.55 is: 1,372.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,473.44 : 3,711.62 = 914.55 : x
  2. Step 2: Convert to fraction form
    2,473.44/3,711.62 = 914.55/x
  3. Step 3: Cross multiply
    2,473.44x = 3,711.62 × 914.55
  4. Step 4: Simplify right side
    2,473.44x = 3,394,438.94
  5. Step 5: Solve for x
    x = 3,394,438.94/2,473.44
  6. Step 6: Final answer
    x = 1,372.36

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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.