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Finding the Fourth Proportional to 2,858.25, 3,944.29 and 1,599.41

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Solution

The fourth proportional to 2,858.25, 3,944.29 and 1,599.41 is: 2,207.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,858.25 : 3,944.29 = 1,599.41 : x
  2. Step 2: Convert to fraction form
    2,858.25/3,944.29 = 1,599.41/x
  3. Step 3: Cross multiply
    2,858.25x = 3,944.29 × 1,599.41
  4. Step 4: Simplify right side
    2,858.25x = 6,308,552.93
  5. Step 5: Solve for x
    x = 6,308,552.93/2,858.25
  6. Step 6: Final answer
    x = 2,207.14

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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.