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Finding the Fourth Proportional to 2,473.32, 3,709.97 and 741.95

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Solution

The fourth proportional to 2,473.32, 3,709.97 and 741.95 is: 1,112.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,473.32 : 3,709.97 = 741.95 : x
  2. Step 2: Convert to fraction form
    2,473.32/3,709.97 = 741.95/x
  3. Step 3: Cross multiply
    2,473.32x = 3,709.97 × 741.95
  4. Step 4: Simplify right side
    2,473.32x = 2,752,589.98
  5. Step 5: Solve for x
    x = 2,752,589.98/2,473.32
  6. Step 6: Final answer
    x = 1,112.91

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.