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Finding the Fourth Proportional to 2,156.74, 3,227.82 and 2,108.14

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Solution

The fourth proportional to 2,156.74, 3,227.82 and 2,108.14 is: 3,155.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,156.74 : 3,227.82 = 2,108.14 : x
  2. Step 2: Convert to fraction form
    2,156.74/3,227.82 = 2,108.14/x
  3. Step 3: Cross multiply
    2,156.74x = 3,227.82 × 2,108.14
  4. Step 4: Simplify right side
    2,156.74x = 6,804,696.45
  5. Step 5: Solve for x
    x = 6,804,696.45/2,156.74
  6. Step 6: Final answer
    x = 3,155.08

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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.