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Finding the Fourth Proportional to 2,022.35, 3,033.51 and 790.62

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Solution

The fourth proportional to 2,022.35, 3,033.51 and 790.62 is: 1,185.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,022.35 : 3,033.51 = 790.62 : x
  2. Step 2: Convert to fraction form
    2,022.35/3,033.51 = 790.62/x
  3. Step 3: Cross multiply
    2,022.35x = 3,033.51 × 790.62
  4. Step 4: Simplify right side
    2,022.35x = 2,398,350.09
  5. Step 5: Solve for x
    x = 2,398,350.09/2,022.35
  6. Step 6: Final answer
    x = 1,185.92

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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.