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Finding the Fourth Proportional to 3,377.70, 5,068.80 and 1,186.41

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Solution

The fourth proportional to 3,377.70, 5,068.80 and 1,186.41 is: 1,780.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,377.70 : 5,068.80 = 1,186.41 : x
  2. Step 2: Convert to fraction form
    3,377.70/5,068.80 = 1,186.41/x
  3. Step 3: Cross multiply
    3,377.70x = 5,068.80 × 1,186.41
  4. Step 4: Simplify right side
    3,377.70x = 6,013,675.01
  5. Step 5: Solve for x
    x = 6,013,675.01/3,377.70
  6. Step 6: Final answer
    x = 1,780.41

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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.