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Finding the Fourth Proportional to 1,853.82, 2,781.54 and 758.70

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Solution

The fourth proportional to 1,853.82, 2,781.54 and 758.70 is: 1,138.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,853.82 : 2,781.54 = 758.70 : x
  2. Step 2: Convert to fraction form
    1,853.82/2,781.54 = 758.70/x
  3. Step 3: Cross multiply
    1,853.82x = 2,781.54 × 758.70
  4. Step 4: Simplify right side
    1,853.82x = 2,110,354.40
  5. Step 5: Solve for x
    x = 2,110,354.40/1,853.82
  6. Step 6: Final answer
    x = 1,138.38

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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.