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Finding the Fourth Proportional to 1,809.93, 2,713.78 and 639.79

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Solution

The fourth proportional to 1,809.93, 2,713.78 and 639.79 is: 959.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,809.93 : 2,713.78 = 639.79 : x
  2. Step 2: Convert to fraction form
    1,809.93/2,713.78 = 639.79/x
  3. Step 3: Cross multiply
    1,809.93x = 2,713.78 × 639.79
  4. Step 4: Simplify right side
    1,809.93x = 1,736,249.31
  5. Step 5: Solve for x
    x = 1,736,249.31/1,809.93
  6. Step 6: Final answer
    x = 959.29

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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.