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Finding the Fourth Proportional to 2,270.52, 3,401.52 and 1,808.82

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Solution

The fourth proportional to 2,270.52, 3,401.52 and 1,808.82 is: 2,709.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,270.52 : 3,401.52 = 1,808.82 : x
  2. Step 2: Convert to fraction form
    2,270.52/3,401.52 = 1,808.82/x
  3. Step 3: Cross multiply
    2,270.52x = 3,401.52 × 1,808.82
  4. Step 4: Simplify right side
    2,270.52x = 6,152,737.41
  5. Step 5: Solve for x
    x = 6,152,737.41/2,270.52
  6. Step 6: Final answer
    x = 2,709.84

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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.