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Finding the Fourth Proportional to 1,753.05, 2,626.82 and 1,102.42

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Solution

The fourth proportional to 1,753.05, 2,626.82 and 1,102.42 is: 1,651.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,753.05 : 2,626.82 = 1,102.42 : x
  2. Step 2: Convert to fraction form
    1,753.05/2,626.82 = 1,102.42/x
  3. Step 3: Cross multiply
    1,753.05x = 2,626.82 × 1,102.42
  4. Step 4: Simplify right side
    1,753.05x = 2,895,845.77
  5. Step 5: Solve for x
    x = 2,895,845.77/1,753.05
  6. Step 6: Final answer
    x = 1,651.89

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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.