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Finding the Fourth Proportional to 2,018.42, 3,027.27 and 785.85

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Solution

The fourth proportional to 2,018.42, 3,027.27 and 785.85 is: 1,178.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,018.42 : 3,027.27 = 785.85 : x
  2. Step 2: Convert to fraction form
    2,018.42/3,027.27 = 785.85/x
  3. Step 3: Cross multiply
    2,018.42x = 3,027.27 × 785.85
  4. Step 4: Simplify right side
    2,018.42x = 2,378,988.75
  5. Step 5: Solve for x
    x = 2,378,988.75/2,018.42
  6. Step 6: Final answer
    x = 1,178.64

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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.