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Finding the Fourth Proportional to 2,799.96, 3,861 and 1,856.76

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Solution

The fourth proportional to 2,799.96, 3,861 and 1,856.76 is: 2,560.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,799.96 : 3,861 = 1,856.76 : x
  2. Step 2: Convert to fraction form
    2,799.96/3,861 = 1,856.76/x
  3. Step 3: Cross multiply
    2,799.96x = 3,861 × 1,856.76
  4. Step 4: Simplify right side
    2,799.96x = 7,168,950.36
  5. Step 5: Solve for x
    x = 7,168,950.36/2,799.96
  6. Step 6: Final answer
    x = 2,560.38

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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.