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Finding the Fourth Proportional to 1,519.17, 2,278.68 and 423.51

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Solution

The fourth proportional to 1,519.17, 2,278.68 and 423.51 is: 635.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,519.17 : 2,278.68 = 423.51 : x
  2. Step 2: Convert to fraction form
    1,519.17/2,278.68 = 423.51/x
  3. Step 3: Cross multiply
    1,519.17x = 2,278.68 × 423.51
  4. Step 4: Simplify right side
    1,519.17x = 965,043.77
  5. Step 5: Solve for x
    x = 965,043.77/1,519.17
  6. Step 6: Final answer
    x = 635.24

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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.