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Finding the Fourth Proportional to 2,315.50, 3,472.43 and 671.72

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Solution

The fourth proportional to 2,315.50, 3,472.43 and 671.72 is: 1,007.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,315.50 : 3,472.43 = 671.72 : x
  2. Step 2: Convert to fraction form
    2,315.50/3,472.43 = 671.72/x
  3. Step 3: Cross multiply
    2,315.50x = 3,472.43 × 671.72
  4. Step 4: Simplify right side
    2,315.50x = 2,332,479.96
  5. Step 5: Solve for x
    x = 2,332,479.96/2,315.50
  6. Step 6: Final answer
    x = 1,007.33

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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.