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Finding the Fourth Proportional to 2,118.30, 3,177.42 and 818.85

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Solution

The fourth proportional to 2,118.30, 3,177.42 and 818.85 is: 1,228.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,118.30 : 3,177.42 = 818.85 : x
  2. Step 2: Convert to fraction form
    2,118.30/3,177.42 = 818.85/x
  3. Step 3: Cross multiply
    2,118.30x = 3,177.42 × 818.85
  4. Step 4: Simplify right side
    2,118.30x = 2,601,830.37
  5. Step 5: Solve for x
    x = 2,601,830.37/2,118.30
  6. Step 6: Final answer
    x = 1,228.26

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.