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Finding the Fourth Proportional to 3,137.78, 4,704.89 and 1,290.20

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Solution

The fourth proportional to 3,137.78, 4,704.89 and 1,290.20 is: 1,934.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,137.78 : 4,704.89 = 1,290.20 : x
  2. Step 2: Convert to fraction form
    3,137.78/4,704.89 = 1,290.20/x
  3. Step 3: Cross multiply
    3,137.78x = 4,704.89 × 1,290.20
  4. Step 4: Simplify right side
    3,137.78x = 6,070,219.10
  5. Step 5: Solve for x
    x = 6,070,219.10/3,137.78
  6. Step 6: Final answer
    x = 1,934.56

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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.