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Finding the Fourth Proportional to 2,490.97, 3,736.96 and 736.01

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Solution

The fourth proportional to 2,490.97, 3,736.96 and 736.01 is: 1,104.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,490.97 : 3,736.96 = 736.01 : x
  2. Step 2: Convert to fraction form
    2,490.97/3,736.96 = 736.01/x
  3. Step 3: Cross multiply
    2,490.97x = 3,736.96 × 736.01
  4. Step 4: Simplify right side
    2,490.97x = 2,750,439.93
  5. Step 5: Solve for x
    x = 2,750,439.93/2,490.97
  6. Step 6: Final answer
    x = 1,104.16

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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.