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Finding the Fourth Proportional to 2,856.43, 3,942.15 and 1,677.47

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Solution

The fourth proportional to 2,856.43, 3,942.15 and 1,677.47 is: 2,315.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,856.43 : 3,942.15 = 1,677.47 : x
  2. Step 2: Convert to fraction form
    2,856.43/3,942.15 = 1,677.47/x
  3. Step 3: Cross multiply
    2,856.43x = 3,942.15 × 1,677.47
  4. Step 4: Simplify right side
    2,856.43x = 6,612,838.36
  5. Step 5: Solve for x
    x = 6,612,838.36/2,856.43
  6. Step 6: Final answer
    x = 2,315.07

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