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Finding the Fourth Proportional to 2,235.33, 3,084.04 and 1,291.00

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Solution

The fourth proportional to 2,235.33, 3,084.04 and 1,291.00 is: 1,781.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,235.33 : 3,084.04 = 1,291.00 : x
  2. Step 2: Convert to fraction form
    2,235.33/3,084.04 = 1,291.00/x
  3. Step 3: Cross multiply
    2,235.33x = 3,084.04 × 1,291.00
  4. Step 4: Simplify right side
    2,235.33x = 3,981,489.54
  5. Step 5: Solve for x
    x = 3,981,489.54/2,235.33
  6. Step 6: Final answer
    x = 1,781.16

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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.