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Finding the Fourth Proportional to 2,856.86, 3,942.13 and 1,597.98

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Solution

The fourth proportional to 2,856.86, 3,942.13 and 1,597.98 is: 2,205.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,856.86 : 3,942.13 = 1,597.98 : x
  2. Step 2: Convert to fraction form
    2,856.86/3,942.13 = 1,597.98/x
  3. Step 3: Cross multiply
    2,856.86x = 3,942.13 × 1,597.98
  4. Step 4: Simplify right side
    2,856.86x = 6,299,444.90
  5. Step 5: Solve for x
    x = 6,299,444.90/2,856.86
  6. Step 6: Final answer
    x = 2,205.02

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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.