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Finding the Fourth Proportional to 3,093.50, 4,628.63 and 2,170.86

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Solution

The fourth proportional to 3,093.50, 4,628.63 and 2,170.86 is: 3,248.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,093.50 : 4,628.63 = 2,170.86 : x
  2. Step 2: Convert to fraction form
    3,093.50/4,628.63 = 2,170.86/x
  3. Step 3: Cross multiply
    3,093.50x = 4,628.63 × 2,170.86
  4. Step 4: Simplify right side
    3,093.50x = 10,048,085.30
  5. Step 5: Solve for x
    x = 10,048,085.30/3,093.50
  6. Step 6: Final answer
    x = 3,248.13

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.