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Finding the Fourth Proportional to 2,744.90, 4,116.61 and 770.41

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Solution

The fourth proportional to 2,744.90, 4,116.61 and 770.41 is: 1,155.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,744.90 : 4,116.61 = 770.41 : x
  2. Step 2: Convert to fraction form
    2,744.90/4,116.61 = 770.41/x
  3. Step 3: Cross multiply
    2,744.90x = 4,116.61 × 770.41
  4. Step 4: Simplify right side
    2,744.90x = 3,171,473.66
  5. Step 5: Solve for x
    x = 3,171,473.66/2,744.90
  6. Step 6: Final answer
    x = 1,155.41

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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.