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Finding the Fourth Proportional to 2,101.99, 3,152.91 and 641.15

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Solution

The fourth proportional to 2,101.99, 3,152.91 and 641.15 is: 961.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,101.99 : 3,152.91 = 641.15 : x
  2. Step 2: Convert to fraction form
    2,101.99/3,152.91 = 641.15/x
  3. Step 3: Cross multiply
    2,101.99x = 3,152.91 × 641.15
  4. Step 4: Simplify right side
    2,101.99x = 2,021,488.25
  5. Step 5: Solve for x
    x = 2,021,488.25/2,101.99
  6. Step 6: Final answer
    x = 961.70

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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.