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Finding the Fourth Proportional to 1,519.48, 2,278.09 and 641.94

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Solution

The fourth proportional to 1,519.48, 2,278.09 and 641.94 is: 962.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,519.48 : 2,278.09 = 641.94 : x
  2. Step 2: Convert to fraction form
    1,519.48/2,278.09 = 641.94/x
  3. Step 3: Cross multiply
    1,519.48x = 2,278.09 × 641.94
  4. Step 4: Simplify right side
    1,519.48x = 1,462,397.09
  5. Step 5: Solve for x
    x = 1,462,397.09/1,519.48
  6. Step 6: Final answer
    x = 962.43

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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.