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Finding the Fourth Proportional to 2,323.74, 3,204.99 and 1,578.27

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Solution

The fourth proportional to 2,323.74, 3,204.99 and 1,578.27 is: 2,176.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,323.74 : 3,204.99 = 1,578.27 : x
  2. Step 2: Convert to fraction form
    2,323.74/3,204.99 = 1,578.27/x
  3. Step 3: Cross multiply
    2,323.74x = 3,204.99 × 1,578.27
  4. Step 4: Simplify right side
    2,323.74x = 5,058,339.57
  5. Step 5: Solve for x
    x = 5,058,339.57/2,323.74
  6. Step 6: Final answer
    x = 2,176.81

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.