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Finding the Fourth Proportional to 3,002.81, 4,496.24 and 2,415.02

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Solution

The fourth proportional to 3,002.81, 4,496.24 and 2,415.02 is: 3,616.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,002.81 : 4,496.24 = 2,415.02 : x
  2. Step 2: Convert to fraction form
    3,002.81/4,496.24 = 2,415.02/x
  3. Step 3: Cross multiply
    3,002.81x = 4,496.24 × 2,415.02
  4. Step 4: Simplify right side
    3,002.81x = 10,858,493.08
  5. Step 5: Solve for x
    x = 10,858,493.08/3,002.81
  6. Step 6: Final answer
    x = 3,616.12

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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.