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Finding the Fourth Proportional to 2,695.92, 4,041 and 1,924.08

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Solution

The fourth proportional to 2,695.92, 4,041 and 1,924.08 is: 2,884.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,695.92 : 4,041 = 1,924.08 : x
  2. Step 2: Convert to fraction form
    2,695.92/4,041 = 1,924.08/x
  3. Step 3: Cross multiply
    2,695.92x = 4,041 × 1,924.08
  4. Step 4: Simplify right side
    2,695.92x = 7,775,207.28
  5. Step 5: Solve for x
    x = 7,775,207.28/2,695.92
  6. Step 6: Final answer
    x = 2,884.06

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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.