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Finding the Fourth Proportional to 2,691.44, 4,038.44 and 1,230.48

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Solution

The fourth proportional to 2,691.44, 4,038.44 and 1,230.48 is: 1,846.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,691.44 : 4,038.44 = 1,230.48 : x
  2. Step 2: Convert to fraction form
    2,691.44/4,038.44 = 1,230.48/x
  3. Step 3: Cross multiply
    2,691.44x = 4,038.44 × 1,230.48
  4. Step 4: Simplify right side
    2,691.44x = 4,969,219.65
  5. Step 5: Solve for x
    x = 4,969,219.65/2,691.44
  6. Step 6: Final answer
    x = 1,846.31

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.