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Finding the Fourth Proportional to 2,314.70, 3,472.23 and 671.27

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Solution

The fourth proportional to 2,314.70, 3,472.23 and 671.27 is: 1,006.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,314.70 : 3,472.23 = 671.27 : x
  2. Step 2: Convert to fraction form
    2,314.70/3,472.23 = 671.27/x
  3. Step 3: Cross multiply
    2,314.70x = 3,472.23 × 671.27
  4. Step 4: Simplify right side
    2,314.70x = 2,330,803.83
  5. Step 5: Solve for x
    x = 2,330,803.83/2,314.70
  6. Step 6: Final answer
    x = 1,006.96

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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.