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Finding the Fourth Proportional to 1,853.66, 2,780.98 and 758.79

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Solution

The fourth proportional to 1,853.66, 2,780.98 and 758.79 is: 1,138.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,853.66 : 2,780.98 = 758.79 : x
  2. Step 2: Convert to fraction form
    1,853.66/2,780.98 = 758.79/x
  3. Step 3: Cross multiply
    1,853.66x = 2,780.98 × 758.79
  4. Step 4: Simplify right side
    1,853.66x = 2,110,190.01
  5. Step 5: Solve for x
    x = 2,110,190.01/1,853.66
  6. Step 6: Final answer
    x = 1,138.39

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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.