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Finding the Fourth Proportional to 2,396.92, 3,594.84 and 1,563.70

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Solution

The fourth proportional to 2,396.92, 3,594.84 and 1,563.70 is: 2,345.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,396.92 : 3,594.84 = 1,563.70 : x
  2. Step 2: Convert to fraction form
    2,396.92/3,594.84 = 1,563.70/x
  3. Step 3: Cross multiply
    2,396.92x = 3,594.84 × 1,563.70
  4. Step 4: Simplify right side
    2,396.92x = 5,621,251.31
  5. Step 5: Solve for x
    x = 5,621,251.31/2,396.92
  6. Step 6: Final answer
    x = 2,345.20

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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.