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Finding the Fourth Proportional to 2,473.41, 3,709.17 and 1,011.75

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Solution

The fourth proportional to 2,473.41, 3,709.17 and 1,011.75 is: 1,517.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,473.41 : 3,709.17 = 1,011.75 : x
  2. Step 2: Convert to fraction form
    2,473.41/3,709.17 = 1,011.75/x
  3. Step 3: Cross multiply
    2,473.41x = 3,709.17 × 1,011.75
  4. Step 4: Simplify right side
    2,473.41x = 3,752,752.75
  5. Step 5: Solve for x
    x = 3,752,752.75/2,473.41
  6. Step 6: Final answer
    x = 1,517.24

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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.