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Finding the Fourth Proportional to 2,034.91, 2,808.20 and 1,103.41

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Solution

The fourth proportional to 2,034.91, 2,808.20 and 1,103.41 is: 1,522.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,034.91 : 2,808.20 = 1,103.41 : x
  2. Step 2: Convert to fraction form
    2,034.91/2,808.20 = 1,103.41/x
  3. Step 3: Cross multiply
    2,034.91x = 2,808.20 × 1,103.41
  4. Step 4: Simplify right side
    2,034.91x = 3,098,595.96
  5. Step 5: Solve for x
    x = 3,098,595.96/2,034.91
  6. Step 6: Final answer
    x = 1,522.72

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.