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Finding the Fourth Proportional to 2,474.72, 3,712.19 and 1,378.26

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Solution

The fourth proportional to 2,474.72, 3,712.19 and 1,378.26 is: 2,067.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,474.72 : 3,712.19 = 1,378.26 : x
  2. Step 2: Convert to fraction form
    2,474.72/3,712.19 = 1,378.26/x
  3. Step 3: Cross multiply
    2,474.72x = 3,712.19 × 1,378.26
  4. Step 4: Simplify right side
    2,474.72x = 5,116,362.99
  5. Step 5: Solve for x
    x = 5,116,362.99/2,474.72
  6. Step 6: Final answer
    x = 2,067.45

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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.