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Finding the Fourth Proportional to 2,884.62, 4,323.24 and 1,568.98

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Solution

The fourth proportional to 2,884.62, 4,323.24 and 1,568.98 is: 2,351.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,884.62 : 4,323.24 = 1,568.98 : x
  2. Step 2: Convert to fraction form
    2,884.62/4,323.24 = 1,568.98/x
  3. Step 3: Cross multiply
    2,884.62x = 4,323.24 × 1,568.98
  4. Step 4: Simplify right side
    2,884.62x = 6,783,082.50
  5. Step 5: Solve for x
    x = 6,783,082.50/2,884.62
  6. Step 6: Final answer
    x = 2,351.46

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.