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Finding the Fourth Proportional to 2,499.41, 3,749.11 and 1,019.25

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Solution

The fourth proportional to 2,499.41, 3,749.11 and 1,019.25 is: 1,528.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,499.41 : 3,749.11 = 1,019.25 : x
  2. Step 2: Convert to fraction form
    2,499.41/3,749.11 = 1,019.25/x
  3. Step 3: Cross multiply
    2,499.41x = 3,749.11 × 1,019.25
  4. Step 4: Simplify right side
    2,499.41x = 3,821,280.37
  5. Step 5: Solve for x
    x = 3,821,280.37/2,499.41
  6. Step 6: Final answer
    x = 1,528.87

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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.