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Finding the Fourth Proportional to 2,851.71, 4,262.96 and 2,195.61

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Solution

The fourth proportional to 2,851.71, 4,262.96 and 2,195.61 is: 3,282.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,851.71 : 4,262.96 = 2,195.61 : x
  2. Step 2: Convert to fraction form
    2,851.71/4,262.96 = 2,195.61/x
  3. Step 3: Cross multiply
    2,851.71x = 4,262.96 × 2,195.61
  4. Step 4: Simplify right side
    2,851.71x = 9,359,786.63
  5. Step 5: Solve for x
    x = 9,359,786.63/2,851.71
  6. Step 6: Final answer
    x = 3,282.17

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.