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Finding the Fourth Proportional to 2,147.57, 2,972.06 and 2,111.12

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Solution

The fourth proportional to 2,147.57, 2,972.06 and 2,111.12 is: 2,921.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,147.57 : 2,972.06 = 2,111.12 : x
  2. Step 2: Convert to fraction form
    2,147.57/2,972.06 = 2,111.12/x
  3. Step 3: Cross multiply
    2,147.57x = 2,972.06 × 2,111.12
  4. Step 4: Simplify right side
    2,147.57x = 6,274,375.31
  5. Step 5: Solve for x
    x = 6,274,375.31/2,147.57
  6. Step 6: Final answer
    x = 2,921.62

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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.