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Finding the Fourth Proportional to 2,235.46, 3,084.74 and 1,290.82

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Solution

The fourth proportional to 2,235.46, 3,084.74 and 1,290.82 is: 1,781.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,235.46 : 3,084.74 = 1,290.82 : x
  2. Step 2: Convert to fraction form
    2,235.46/3,084.74 = 1,290.82/x
  3. Step 3: Cross multiply
    2,235.46x = 3,084.74 × 1,290.82
  4. Step 4: Simplify right side
    2,235.46x = 3,981,844.09
  5. Step 5: Solve for x
    x = 3,981,844.09/2,235.46
  6. Step 6: Final answer
    x = 1,781.22

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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.