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Finding the Fourth Proportional to 2,155.91, 3,233.88 and 857.38

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Solution

The fourth proportional to 2,155.91, 3,233.88 and 857.38 is: 1,286.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,155.91 : 3,233.88 = 857.38 : x
  2. Step 2: Convert to fraction form
    2,155.91/3,233.88 = 857.38/x
  3. Step 3: Cross multiply
    2,155.91x = 3,233.88 × 857.38
  4. Step 4: Simplify right side
    2,155.91x = 2,772,664.03
  5. Step 5: Solve for x
    x = 2,772,664.03/2,155.91
  6. Step 6: Final answer
    x = 1,286.08

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.