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Finding the Fourth Proportional to 2,266.35, 3,400.20 and 1,874.55

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Solution

The fourth proportional to 2,266.35, 3,400.20 and 1,874.55 is: 2,812.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,266.35 : 3,400.20 = 1,874.55 : x
  2. Step 2: Convert to fraction form
    2,266.35/3,400.20 = 1,874.55/x
  3. Step 3: Cross multiply
    2,266.35x = 3,400.20 × 1,874.55
  4. Step 4: Simplify right side
    2,266.35x = 6,373,844.91
  5. Step 5: Solve for x
    x = 6,373,844.91/2,266.35
  6. Step 6: Final answer
    x = 2,812.38

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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.