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Finding the Fourth Proportional to 2,102.77, 3,154.66 and 641.83

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Solution

The fourth proportional to 2,102.77, 3,154.66 and 641.83 is: 962.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,102.77 : 3,154.66 = 641.83 : x
  2. Step 2: Convert to fraction form
    2,102.77/3,154.66 = 641.83/x
  3. Step 3: Cross multiply
    2,102.77x = 3,154.66 × 641.83
  4. Step 4: Simplify right side
    2,102.77x = 2,024,755.43
  5. Step 5: Solve for x
    x = 2,024,755.43/2,102.77
  6. Step 6: Final answer
    x = 962.90

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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.