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Finding the Fourth Proportional to 1,519.02, 2,278.08 and 423.09

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Solution

The fourth proportional to 1,519.02, 2,278.08 and 423.09 is: 634.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,519.02 : 2,278.08 = 423.09 : x
  2. Step 2: Convert to fraction form
    1,519.02/2,278.08 = 423.09/x
  3. Step 3: Cross multiply
    1,519.02x = 2,278.08 × 423.09
  4. Step 4: Simplify right side
    1,519.02x = 963,832.87
  5. Step 5: Solve for x
    x = 963,832.87/1,519.02
  6. Step 6: Final answer
    x = 634.51

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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.