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Finding the Fourth Proportional to 2,519.28, 3,778.59 and 958.86

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Solution

The fourth proportional to 2,519.28, 3,778.59 and 958.86 is: 1,438.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,519.28 : 3,778.59 = 958.86 : x
  2. Step 2: Convert to fraction form
    2,519.28/3,778.59 = 958.86/x
  3. Step 3: Cross multiply
    2,519.28x = 3,778.59 × 958.86
  4. Step 4: Simplify right side
    2,519.28x = 3,623,138.81
  5. Step 5: Solve for x
    x = 3,623,138.81/2,519.28
  6. Step 6: Final answer
    x = 1,438.16

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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.