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Finding the Fourth Proportional to 1,817.57, 2,726.39 and 519.07

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Solution

The fourth proportional to 1,817.57, 2,726.39 and 519.07 is: 778.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,817.57 : 2,726.39 = 519.07 : x
  2. Step 2: Convert to fraction form
    1,817.57/2,726.39 = 519.07/x
  3. Step 3: Cross multiply
    1,817.57x = 2,726.39 × 519.07
  4. Step 4: Simplify right side
    1,817.57x = 1,415,187.26
  5. Step 5: Solve for x
    x = 1,415,187.26/1,817.57
  6. Step 6: Final answer
    x = 778.61

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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.