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Finding the Fourth Proportional to 2,930.75, 4,395.90 and 1,287.31

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Solution

The fourth proportional to 2,930.75, 4,395.90 and 1,287.31 is: 1,930.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,930.75 : 4,395.90 = 1,287.31 : x
  2. Step 2: Convert to fraction form
    2,930.75/4,395.90 = 1,287.31/x
  3. Step 3: Cross multiply
    2,930.75x = 4,395.90 × 1,287.31
  4. Step 4: Simplify right side
    2,930.75x = 5,658,879.59
  5. Step 5: Solve for x
    x = 5,658,879.59/2,930.75
  6. Step 6: Final answer
    x = 1,930.86

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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.