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Finding the Fourth Proportional to 2,104.32, 3,170.74 and 1,747.11

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Solution

The fourth proportional to 2,104.32, 3,170.74 and 1,747.11 is: 2,632.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,104.32 : 3,170.74 = 1,747.11 : x
  2. Step 2: Convert to fraction form
    2,104.32/3,170.74 = 1,747.11/x
  3. Step 3: Cross multiply
    2,104.32x = 3,170.74 × 1,747.11
  4. Step 4: Simplify right side
    2,104.32x = 5,539,622.83
  5. Step 5: Solve for x
    x = 5,539,622.83/2,104.32
  6. Step 6: Final answer
    x = 2,632.50

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.