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Finding the Fourth Proportional to 1,838.74, 2,758.12 and 540.22

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Solution

The fourth proportional to 1,838.74, 2,758.12 and 540.22 is: 810.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,838.74 : 2,758.12 = 540.22 : x
  2. Step 2: Convert to fraction form
    1,838.74/2,758.12 = 540.22/x
  3. Step 3: Cross multiply
    1,838.74x = 2,758.12 × 540.22
  4. Step 4: Simplify right side
    1,838.74x = 1,489,991.59
  5. Step 5: Solve for x
    x = 1,489,991.59/1,838.74
  6. Step 6: Final answer
    x = 810.33

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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.