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Finding the Fourth Proportional to 1,853.12, 2,781.87 and 758.36

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Solution

The fourth proportional to 1,853.12, 2,781.87 and 758.36 is: 1,138.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,853.12 : 2,781.87 = 758.36 : x
  2. Step 2: Convert to fraction form
    1,853.12/2,781.87 = 758.36/x
  3. Step 3: Cross multiply
    1,853.12x = 2,781.87 × 758.36
  4. Step 4: Simplify right side
    1,853.12x = 2,109,658.93
  5. Step 5: Solve for x
    x = 2,109,658.93/1,853.12
  6. Step 6: Final answer
    x = 1,138.44

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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.