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Finding the Fourth Proportional to 2,858.76, 3,945.02 and 1,599.94

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Solution

The fourth proportional to 2,858.76, 3,945.02 and 1,599.94 is: 2,207.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,858.76 : 3,945.02 = 1,599.94 : x
  2. Step 2: Convert to fraction form
    2,858.76/3,945.02 = 1,599.94/x
  3. Step 3: Cross multiply
    2,858.76x = 3,945.02 × 1,599.94
  4. Step 4: Simplify right side
    2,858.76x = 6,311,777.44
  5. Step 5: Solve for x
    x = 6,311,777.44/2,858.76
  6. Step 6: Final answer
    x = 2,207.87

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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.