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Finding the Fourth Proportional to 2,856.80, 3,944.34 and 1,795.04

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Solution

The fourth proportional to 2,856.80, 3,944.34 and 1,795.04 is: 2,478.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,856.80 : 3,944.34 = 1,795.04 : x
  2. Step 2: Convert to fraction form
    2,856.80/3,944.34 = 1,795.04/x
  3. Step 3: Cross multiply
    2,856.80x = 3,944.34 × 1,795.04
  4. Step 4: Simplify right side
    2,856.80x = 7,080,248.07
  5. Step 5: Solve for x
    x = 7,080,248.07/2,856.80
  6. Step 6: Final answer
    x = 2,478.38

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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.