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Finding the Fourth Proportional to 2,101.91, 3,152.75 and 640.95

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Solution

The fourth proportional to 2,101.91, 3,152.75 and 640.95 is: 961.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,101.91 : 3,152.75 = 640.95 : x
  2. Step 2: Convert to fraction form
    2,101.91/3,152.75 = 640.95/x
  3. Step 3: Cross multiply
    2,101.91x = 3,152.75 × 640.95
  4. Step 4: Simplify right side
    2,101.91x = 2,020,741.29
  5. Step 5: Solve for x
    x = 2,020,741.29/2,101.91
  6. Step 6: Final answer
    x = 961.38

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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.