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Finding the Fourth Proportional to 2,022.70, 3,034.05 and 790.15

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Solution

The fourth proportional to 2,022.70, 3,034.05 and 790.15 is: 1,185.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,022.70 : 3,034.05 = 790.15 : x
  2. Step 2: Convert to fraction form
    2,022.70/3,034.05 = 790.15/x
  3. Step 3: Cross multiply
    2,022.70x = 3,034.05 × 790.15
  4. Step 4: Simplify right side
    2,022.70x = 2,397,354.61
  5. Step 5: Solve for x
    x = 2,397,354.61/2,022.70
  6. Step 6: Final answer
    x = 1,185.23

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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.