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Finding the Fourth Proportional to 2,856.74, 3,942 and 1,597.86

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Solution

The fourth proportional to 2,856.74, 3,942 and 1,597.86 is: 2,204.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,856.74 : 3,942 = 1,597.86 : x
  2. Step 2: Convert to fraction form
    2,856.74/3,942 = 1,597.86/x
  3. Step 3: Cross multiply
    2,856.74x = 3,942 × 1,597.86
  4. Step 4: Simplify right side
    2,856.74x = 6,298,764.12
  5. Step 5: Solve for x
    x = 6,298,764.12/2,856.74
  6. Step 6: Final answer
    x = 2,204.88

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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.