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Finding the Fourth Proportional to 2,101.68, 3,152.52 and 640.82

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Solution

The fourth proportional to 2,101.68, 3,152.52 and 640.82 is: 961.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,101.68 : 3,152.52 = 640.82 : x
  2. Step 2: Convert to fraction form
    2,101.68/3,152.52 = 640.82/x
  3. Step 3: Cross multiply
    2,101.68x = 3,152.52 × 640.82
  4. Step 4: Simplify right side
    2,101.68x = 2,020,208.15
  5. Step 5: Solve for x
    x = 2,020,208.15/2,101.68
  6. Step 6: Final answer
    x = 961.23

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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.