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Finding the Fourth Proportional to 2,224.64, 3,340.20 and 1,578.80

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Solution

The fourth proportional to 2,224.64, 3,340.20 and 1,578.80 is: 2,370.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,224.64 : 3,340.20 = 1,578.80 : x
  2. Step 2: Convert to fraction form
    2,224.64/3,340.20 = 1,578.80/x
  3. Step 3: Cross multiply
    2,224.64x = 3,340.20 × 1,578.80
  4. Step 4: Simplify right side
    2,224.64x = 5,273,507.76
  5. Step 5: Solve for x
    x = 5,273,507.76/2,224.64
  6. Step 6: Final answer
    x = 2,370.50

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.