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Finding the Fourth Proportional to 2,490.39, 3,736.07 and 735.42

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Solution

The fourth proportional to 2,490.39, 3,736.07 and 735.42 is: 1,103.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,490.39 : 3,736.07 = 735.42 : x
  2. Step 2: Convert to fraction form
    2,490.39/3,736.07 = 735.42/x
  3. Step 3: Cross multiply
    2,490.39x = 3,736.07 × 735.42
  4. Step 4: Simplify right side
    2,490.39x = 2,747,581.52
  5. Step 5: Solve for x
    x = 2,747,581.52/2,490.39
  6. Step 6: Final answer
    x = 1,103.28

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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.