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Finding the Fourth Proportional to 2,474.91, 3,712.89 and 1,014.06

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Solution

The fourth proportional to 2,474.91, 3,712.89 and 1,014.06 is: 1,521.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,474.91 : 3,712.89 = 1,014.06 : x
  2. Step 2: Convert to fraction form
    2,474.91/3,712.89 = 1,014.06/x
  3. Step 3: Cross multiply
    2,474.91x = 3,712.89 × 1,014.06
  4. Step 4: Simplify right side
    2,474.91x = 3,765,093.23
  5. Step 5: Solve for x
    x = 3,765,093.23/2,474.91
  6. Step 6: Final answer
    x = 1,521.31

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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.