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Finding the Fourth Proportional to 2,752.71, 3,799.57 and 2,197

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Solution

The fourth proportional to 2,752.71, 3,799.57 and 2,197 is: 3,032.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,752.71 : 3,799.57 = 2,197 : x
  2. Step 2: Convert to fraction form
    2,752.71/3,799.57 = 2,197/x
  3. Step 3: Cross multiply
    2,752.71x = 3,799.57 × 2,197
  4. Step 4: Simplify right side
    2,752.71x = 8,347,655.29
  5. Step 5: Solve for x
    x = 8,347,655.29/2,752.71
  6. Step 6: Final answer
    x = 3,032.52

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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.