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Finding the Fourth Proportional to 2,096.92, 2,892 and 2,071

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Solution

The fourth proportional to 2,096.92, 2,892 and 2,071 is: 2,856.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,096.92 : 2,892 = 2,071 : x
  2. Step 2: Convert to fraction form
    2,096.92/2,892 = 2,071/x
  3. Step 3: Cross multiply
    2,096.92x = 2,892 × 2,071
  4. Step 4: Simplify right side
    2,096.92x = 5,989,332
  5. Step 5: Solve for x
    x = 5,989,332/2,096.92
  6. Step 6: Final answer
    x = 2,856.25

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.