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Finding the Fourth Proportional to 2,473.96, 3,711.44 and 1,013.23

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Solution

The fourth proportional to 2,473.96, 3,711.44 and 1,013.23 is: 1,520.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,473.96 : 3,711.44 = 1,013.23 : x
  2. Step 2: Convert to fraction form
    2,473.96/3,711.44 = 1,013.23/x
  3. Step 3: Cross multiply
    2,473.96x = 3,711.44 × 1,013.23
  4. Step 4: Simplify right side
    2,473.96x = 3,760,542.35
  5. Step 5: Solve for x
    x = 3,760,542.35/2,473.96
  6. Step 6: Final answer
    x = 1,520.05

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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.