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Finding the Fourth Proportional to 2,174.42, 3,255.41 and 2,036.48

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Solution

The fourth proportional to 2,174.42, 3,255.41 and 2,036.48 is: 3,048.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,174.42 : 3,255.41 = 2,036.48 : x
  2. Step 2: Convert to fraction form
    2,174.42/3,255.41 = 2,036.48/x
  3. Step 3: Cross multiply
    2,174.42x = 3,255.41 × 2,036.48
  4. Step 4: Simplify right side
    2,174.42x = 6,629,574.31
  5. Step 5: Solve for x
    x = 6,629,574.31/2,174.42
  6. Step 6: Final answer
    x = 3,048.90

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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.