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Finding the Fourth Proportional to 1,519.36, 2,278.73 and 423.50

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Solution

The fourth proportional to 1,519.36, 2,278.73 and 423.50 is: 635.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,519.36 : 2,278.73 = 423.50 : x
  2. Step 2: Convert to fraction form
    1,519.36/2,278.73 = 423.50/x
  3. Step 3: Cross multiply
    1,519.36x = 2,278.73 × 423.50
  4. Step 4: Simplify right side
    1,519.36x = 965,031.82
  5. Step 5: Solve for x
    x = 965,031.82/1,519.36
  6. Step 6: Final answer
    x = 635.16

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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.