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Finding the Fourth Proportional to 2,856.60, 3,942 and 1,861.92

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Solution

The fourth proportional to 2,856.60, 3,942 and 1,861.92 is: 2,569.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,856.60 : 3,942 = 1,861.92 : x
  2. Step 2: Convert to fraction form
    2,856.60/3,942 = 1,861.92/x
  3. Step 3: Cross multiply
    2,856.60x = 3,942 × 1,861.92
  4. Step 4: Simplify right side
    2,856.60x = 7,339,688.64
  5. Step 5: Solve for x
    x = 7,339,688.64/2,856.60
  6. Step 6: Final answer
    x = 2,569.38

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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.