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Finding the Fourth Proportional to 2,288.92, 3,157.74 and 1,357.24

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Solution

The fourth proportional to 2,288.92, 3,157.74 and 1,357.24 is: 1,872.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,288.92 : 3,157.74 = 1,357.24 : x
  2. Step 2: Convert to fraction form
    2,288.92/3,157.74 = 1,357.24/x
  3. Step 3: Cross multiply
    2,288.92x = 3,157.74 × 1,357.24
  4. Step 4: Simplify right side
    2,288.92x = 4,285,811.04
  5. Step 5: Solve for x
    x = 4,285,811.04/2,288.92
  6. Step 6: Final answer
    x = 1,872.42

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.