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Finding the Fourth Proportional to 2,224.39, 3,339.83 and 1,578.55

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Solution

The fourth proportional to 2,224.39, 3,339.83 and 1,578.55 is: 2,370.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,224.39 : 3,339.83 = 1,578.55 : x
  2. Step 2: Convert to fraction form
    2,224.39/3,339.83 = 1,578.55/x
  3. Step 3: Cross multiply
    2,224.39x = 3,339.83 × 1,578.55
  4. Step 4: Simplify right side
    2,224.39x = 5,272,088.65
  5. Step 5: Solve for x
    x = 5,272,088.65/2,224.39
  6. Step 6: Final answer
    x = 2,370.13

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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.