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Finding the Fourth Proportional to 2,002.08, 3,002.88 and 541.02

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Solution

The fourth proportional to 2,002.08, 3,002.88 and 541.02 is: 811.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,002.08 : 3,002.88 = 541.02 : x
  2. Step 2: Convert to fraction form
    2,002.08/3,002.88 = 541.02/x
  3. Step 3: Cross multiply
    2,002.08x = 3,002.88 × 541.02
  4. Step 4: Simplify right side
    2,002.08x = 1,624,618.14
  5. Step 5: Solve for x
    x = 1,624,618.14/2,002.08
  6. Step 6: Final answer
    x = 811.47

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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.