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Finding the Fourth Proportional to 2,981.75, 4,472.67 and 790.52

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Solution

The fourth proportional to 2,981.75, 4,472.67 and 790.52 is: 1,185.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,981.75 : 4,472.67 = 790.52 : x
  2. Step 2: Convert to fraction form
    2,981.75/4,472.67 = 790.52/x
  3. Step 3: Cross multiply
    2,981.75x = 4,472.67 × 790.52
  4. Step 4: Simplify right side
    2,981.75x = 3,535,735.09
  5. Step 5: Solve for x
    x = 3,535,735.09/2,981.75
  6. Step 6: Final answer
    x = 1,185.79

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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.