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Finding the Fourth Proportional to 2,101.92, 3,152.84 and 641.08

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Solution

The fourth proportional to 2,101.92, 3,152.84 and 641.08 is: 961.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,101.92 : 3,152.84 = 641.08 : x
  2. Step 2: Convert to fraction form
    2,101.92/3,152.84 = 641.08/x
  3. Step 3: Cross multiply
    2,101.92x = 3,152.84 × 641.08
  4. Step 4: Simplify right side
    2,101.92x = 2,021,222.67
  5. Step 5: Solve for x
    x = 2,021,222.67/2,101.92
  6. Step 6: Final answer
    x = 961.61

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