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Finding the Fourth Proportional to 2,061.23, 2,844.71 and 1,222.07

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Solution

The fourth proportional to 2,061.23, 2,844.71 and 1,222.07 is: 1,686.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,061.23 : 2,844.71 = 1,222.07 : x
  2. Step 2: Convert to fraction form
    2,061.23/2,844.71 = 1,222.07/x
  3. Step 3: Cross multiply
    2,061.23x = 2,844.71 × 1,222.07
  4. Step 4: Simplify right side
    2,061.23x = 3,476,444.92
  5. Step 5: Solve for x
    x = 3,476,444.92/2,061.23
  6. Step 6: Final answer
    x = 1,686.59

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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.