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Finding the Fourth Proportional to 3,137.81, 4,704.04 and 1,287.77

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Solution

The fourth proportional to 3,137.81, 4,704.04 and 1,287.77 is: 1,930.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,137.81 : 4,704.04 = 1,287.77 : x
  2. Step 2: Convert to fraction form
    3,137.81/4,704.04 = 1,287.77/x
  3. Step 3: Cross multiply
    3,137.81x = 4,704.04 × 1,287.77
  4. Step 4: Simplify right side
    3,137.81x = 6,057,730.13
  5. Step 5: Solve for x
    x = 6,057,730.13/3,137.81
  6. Step 6: Final answer
    x = 1,930.56

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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.