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Finding the Fourth Proportional to 2,093.32, 2,882.88 and 2,047.96

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Solution

The fourth proportional to 2,093.32, 2,882.88 and 2,047.96 is: 2,820.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,093.32 : 2,882.88 = 2,047.96 : x
  2. Step 2: Convert to fraction form
    2,093.32/2,882.88 = 2,047.96/x
  3. Step 3: Cross multiply
    2,093.32x = 2,882.88 × 2,047.96
  4. Step 4: Simplify right side
    2,093.32x = 5,904,022.92
  5. Step 5: Solve for x
    x = 5,904,022.92/2,093.32
  6. Step 6: Final answer
    x = 2,820.41

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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.