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Finding the Fourth Proportional to 2,856.72, 3,942.56 and 1,737.56

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Solution

The fourth proportional to 2,856.72, 3,942.56 and 1,737.56 is: 2,398.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,856.72 : 3,942.56 = 1,737.56 : x
  2. Step 2: Convert to fraction form
    2,856.72/3,942.56 = 1,737.56/x
  3. Step 3: Cross multiply
    2,856.72x = 3,942.56 × 1,737.56
  4. Step 4: Simplify right side
    2,856.72x = 6,850,434.55
  5. Step 5: Solve for x
    x = 6,850,434.55/2,856.72
  6. Step 6: Final answer
    x = 2,398.01

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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.