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Finding the Fourth Proportional to 2,433.87, 3,651.31 and 790.28

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Solution

The fourth proportional to 2,433.87, 3,651.31 and 790.28 is: 1,185.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,433.87 : 3,651.31 = 790.28 : x
  2. Step 2: Convert to fraction form
    2,433.87/3,651.31 = 790.28/x
  3. Step 3: Cross multiply
    2,433.87x = 3,651.31 × 790.28
  4. Step 4: Simplify right side
    2,433.87x = 2,885,557.27
  5. Step 5: Solve for x
    x = 2,885,557.27/2,433.87
  6. Step 6: Final answer
    x = 1,185.58

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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.