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Finding the Fourth Proportional to 2,141.47, 3,212.09 and 680.51

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Solution

The fourth proportional to 2,141.47, 3,212.09 and 680.51 is: 1,020.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,141.47 : 3,212.09 = 680.51 : x
  2. Step 2: Convert to fraction form
    2,141.47/3,212.09 = 680.51/x
  3. Step 3: Cross multiply
    2,141.47x = 3,212.09 × 680.51
  4. Step 4: Simplify right side
    2,141.47x = 2,185,839.90
  5. Step 5: Solve for x
    x = 2,185,839.90/2,141.47
  6. Step 6: Final answer
    x = 1,020.72

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.