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Finding the Fourth Proportional to 2,574.23, 3,866.03 and 2,469.83

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Solution

The fourth proportional to 2,574.23, 3,866.03 and 2,469.83 is: 3,709.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,574.23 : 3,866.03 = 2,469.83 : x
  2. Step 2: Convert to fraction form
    2,574.23/3,866.03 = 2,469.83/x
  3. Step 3: Cross multiply
    2,574.23x = 3,866.03 × 2,469.83
  4. Step 4: Simplify right side
    2,574.23x = 9,548,424.53
  5. Step 5: Solve for x
    x = 9,548,424.53/2,574.23
  6. Step 6: Final answer
    x = 3,709.24

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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.