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Finding the Fourth Proportional to 2,232.97, 3,081.54 and 1,224.76

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Solution

The fourth proportional to 2,232.97, 3,081.54 and 1,224.76 is: 1,690.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,232.97 : 3,081.54 = 1,224.76 : x
  2. Step 2: Convert to fraction form
    2,232.97/3,081.54 = 1,224.76/x
  3. Step 3: Cross multiply
    2,232.97x = 3,081.54 × 1,224.76
  4. Step 4: Simplify right side
    2,232.97x = 3,774,146.93
  5. Step 5: Solve for x
    x = 3,774,146.93/2,232.97
  6. Step 6: Final answer
    x = 1,690.19

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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.