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Finding the Fourth Proportional to 2,002.05, 3,000.24 and 1,568.70

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Solution

The fourth proportional to 2,002.05, 3,000.24 and 1,568.70 is: 2,350.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,002.05 : 3,000.24 = 1,568.70 : x
  2. Step 2: Convert to fraction form
    2,002.05/3,000.24 = 1,568.70/x
  3. Step 3: Cross multiply
    2,002.05x = 3,000.24 × 1,568.70
  4. Step 4: Simplify right side
    2,002.05x = 4,706,476.49
  5. Step 5: Solve for x
    x = 4,706,476.49/2,002.05
  6. Step 6: Final answer
    x = 2,350.83

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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.