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Finding the Fourth Proportional to 2,102.76, 3,153.78 and 641.88

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Solution

The fourth proportional to 2,102.76, 3,153.78 and 641.88 is: 962.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,102.76 : 3,153.78 = 641.88 : x
  2. Step 2: Convert to fraction form
    2,102.76/3,153.78 = 641.88/x
  3. Step 3: Cross multiply
    2,102.76x = 3,153.78 × 641.88
  4. Step 4: Simplify right side
    2,102.76x = 2,024,348.31
  5. Step 5: Solve for x
    x = 2,024,348.31/2,102.76
  6. Step 6: Final answer
    x = 962.71

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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.