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Finding the Fourth Proportional to 2,738.18, 4,107.34 and 790.38

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Solution

The fourth proportional to 2,738.18, 4,107.34 and 790.38 is: 1,185.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,738.18 : 4,107.34 = 790.38 : x
  2. Step 2: Convert to fraction form
    2,738.18/4,107.34 = 790.38/x
  3. Step 3: Cross multiply
    2,738.18x = 4,107.34 × 790.38
  4. Step 4: Simplify right side
    2,738.18x = 3,246,334.90
  5. Step 5: Solve for x
    x = 3,246,334.90/2,738.18
  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.