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Finding the Fourth Proportional to 2,498.53, 3,749.67 and 940.07

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Solution

The fourth proportional to 2,498.53, 3,749.67 and 940.07 is: 1,410.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,498.53 : 3,749.67 = 940.07 : x
  2. Step 2: Convert to fraction form
    2,498.53/3,749.67 = 940.07/x
  3. Step 3: Cross multiply
    2,498.53x = 3,749.67 × 940.07
  4. Step 4: Simplify right side
    2,498.53x = 3,524,952.28
  5. Step 5: Solve for x
    x = 3,524,952.28/2,498.53
  6. Step 6: Final answer
    x = 1,410.81

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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.