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Finding the Fourth Proportional to 2,858.45, 3,944.52 and 1,599.66

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Solution

The fourth proportional to 2,858.45, 3,944.52 and 1,599.66 is: 2,207.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,858.45 : 3,944.52 = 1,599.66 : x
  2. Step 2: Convert to fraction form
    2,858.45/3,944.52 = 1,599.66/x
  3. Step 3: Cross multiply
    2,858.45x = 3,944.52 × 1,599.66
  4. Step 4: Simplify right side
    2,858.45x = 6,309,890.86
  5. Step 5: Solve for x
    x = 6,309,890.86/2,858.45
  6. Step 6: Final answer
    x = 2,207.46

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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.