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Finding the Fourth Proportional to 3,378.85, 5,068.78 and 1,187.19

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Solution

The fourth proportional to 3,378.85, 5,068.78 and 1,187.19 is: 1,780.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,378.85 : 5,068.78 = 1,187.19 : x
  2. Step 2: Convert to fraction form
    3,378.85/5,068.78 = 1,187.19/x
  3. Step 3: Cross multiply
    3,378.85x = 5,068.78 × 1,187.19
  4. Step 4: Simplify right side
    3,378.85x = 6,017,604.93
  5. Step 5: Solve for x
    x = 6,017,604.93/3,378.85
  6. Step 6: Final answer
    x = 1,780.96

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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.