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Finding the Fourth Proportional to 2,423.87, 3,635.80 and 1,694.87

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Solution

The fourth proportional to 2,423.87, 3,635.80 and 1,694.87 is: 2,542.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,423.87 : 3,635.80 = 1,694.87 : x
  2. Step 2: Convert to fraction form
    2,423.87/3,635.80 = 1,694.87/x
  3. Step 3: Cross multiply
    2,423.87x = 3,635.80 × 1,694.87
  4. Step 4: Simplify right side
    2,423.87x = 6,162,208.35
  5. Step 5: Solve for x
    x = 6,162,208.35/2,423.87
  6. Step 6: Final answer
    x = 2,542.30

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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.