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Finding the Fourth Proportional to 2,494.56, 3,742.93 and 1,338.96

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Solution

The fourth proportional to 2,494.56, 3,742.93 and 1,338.96 is: 2,009.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,494.56 : 3,742.93 = 1,338.96 : x
  2. Step 2: Convert to fraction form
    2,494.56/3,742.93 = 1,338.96/x
  3. Step 3: Cross multiply
    2,494.56x = 3,742.93 × 1,338.96
  4. Step 4: Simplify right side
    2,494.56x = 5,011,626.86
  5. Step 5: Solve for x
    x = 5,011,626.86/2,494.56
  6. Step 6: Final answer
    x = 2,009.02

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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.