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Finding the Fourth Proportional to 2,851.71, 3,935.08 and 1,592.66

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Solution

The fourth proportional to 2,851.71, 3,935.08 and 1,592.66 is: 2,197.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,851.71 : 3,935.08 = 1,592.66 : x
  2. Step 2: Convert to fraction form
    2,851.71/3,935.08 = 1,592.66/x
  3. Step 3: Cross multiply
    2,851.71x = 3,935.08 × 1,592.66
  4. Step 4: Simplify right side
    2,851.71x = 6,267,236.55
  5. Step 5: Solve for x
    x = 6,267,236.55/2,851.71
  6. Step 6: Final answer
    x = 2,197.72

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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.