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Finding the Fourth Proportional to 2,061.71, 2,845.16 and 1,222.83

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Solution

The fourth proportional to 2,061.71, 2,845.16 and 1,222.83 is: 1,687.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,061.71 : 2,845.16 = 1,222.83 : x
  2. Step 2: Convert to fraction form
    2,061.71/2,845.16 = 1,222.83/x
  3. Step 3: Cross multiply
    2,061.71x = 2,845.16 × 1,222.83
  4. Step 4: Simplify right side
    2,061.71x = 3,479,150.06
  5. Step 5: Solve for x
    x = 3,479,150.06/2,061.71
  6. Step 6: Final answer
    x = 1,687.50

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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.