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Finding the Fourth Proportional to 3,044.12, 4,566.17 and 735.62

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Solution

The fourth proportional to 3,044.12, 4,566.17 and 735.62 is: 1,103.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,044.12 : 4,566.17 = 735.62 : x
  2. Step 2: Convert to fraction form
    3,044.12/4,566.17 = 735.62/x
  3. Step 3: Cross multiply
    3,044.12x = 4,566.17 × 735.62
  4. Step 4: Simplify right side
    3,044.12x = 3,358,944.98
  5. Step 5: Solve for x
    x = 3,358,944.98/3,044.12
  6. Step 6: Final answer
    x = 1,103.42

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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.