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Finding the Fourth Proportional to 2,851.67, 3,935.12 and 1,592.66

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Solution

The fourth proportional to 2,851.67, 3,935.12 and 1,592.66 is: 2,197.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,851.67 : 3,935.12 = 1,592.66 : x
  2. Step 2: Convert to fraction form
    2,851.67/3,935.12 = 1,592.66/x
  3. Step 3: Cross multiply
    2,851.67x = 3,935.12 × 1,592.66
  4. Step 4: Simplify right side
    2,851.67x = 6,267,310.09
  5. Step 5: Solve for x
    x = 6,267,310.09/2,851.67
  6. Step 6: Final answer
    x = 2,197.77

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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.