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Finding the Fourth Proportional to 2,061.69, 2,845.14 and 1,222.82

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Solution

The fourth proportional to 2,061.69, 2,845.14 and 1,222.82 is: 1,687.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,061.69 : 2,845.14 = 1,222.82 : x
  2. Step 2: Convert to fraction form
    2,061.69/2,845.14 = 1,222.82/x
  3. Step 3: Cross multiply
    2,061.69x = 2,845.14 × 1,222.82
  4. Step 4: Simplify right side
    2,061.69x = 3,479,079.87
  5. Step 5: Solve for x
    x = 3,479,079.87/2,061.69
  6. Step 6: Final answer
    x = 1,687.49

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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.