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Finding the Fourth Proportional to 2,314.91, 3,472.14 and 1,274.57

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Solution

The fourth proportional to 2,314.91, 3,472.14 and 1,274.57 is: 1,911.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,314.91 : 3,472.14 = 1,274.57 : x
  2. Step 2: Convert to fraction form
    2,314.91/3,472.14 = 1,274.57/x
  3. Step 3: Cross multiply
    2,314.91x = 3,472.14 × 1,274.57
  4. Step 4: Simplify right side
    2,314.91x = 4,425,485.48
  5. Step 5: Solve for x
    x = 4,425,485.48/2,314.91
  6. Step 6: Final answer
    x = 1,911.73

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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.