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Finding the Fourth Proportional to 3,111.90, 4,663.46 and 1,550.42

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Solution

The fourth proportional to 3,111.90, 4,663.46 and 1,550.42 is: 2,323.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,111.90 : 4,663.46 = 1,550.42 : x
  2. Step 2: Convert to fraction form
    3,111.90/4,663.46 = 1,550.42/x
  3. Step 3: Cross multiply
    3,111.90x = 4,663.46 × 1,550.42
  4. Step 4: Simplify right side
    3,111.90x = 7,230,321.65
  5. Step 5: Solve for x
    x = 7,230,321.65/3,111.90
  6. Step 6: Final answer
    x = 2,323.44

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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.