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Finding the Fourth Proportional to 2,857.15, 3,942.93 and 1,598.15

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Solution

The fourth proportional to 2,857.15, 3,942.93 and 1,598.15 is: 2,205.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,857.15 : 3,942.93 = 1,598.15 : x
  2. Step 2: Convert to fraction form
    2,857.15/3,942.93 = 1,598.15/x
  3. Step 3: Cross multiply
    2,857.15x = 3,942.93 × 1,598.15
  4. Step 4: Simplify right side
    2,857.15x = 6,301,365.87
  5. Step 5: Solve for x
    x = 6,301,365.87/2,857.15
  6. Step 6: Final answer
    x = 2,205.48

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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.