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Finding the Fourth Proportional to 2,102.68, 3,153.61 and 641.98

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Solution

The fourth proportional to 2,102.68, 3,153.61 and 641.98 is: 962.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,102.68 : 3,153.61 = 641.98 : x
  2. Step 2: Convert to fraction form
    2,102.68/3,153.61 = 641.98/x
  3. Step 3: Cross multiply
    2,102.68x = 3,153.61 × 641.98
  4. Step 4: Simplify right side
    2,102.68x = 2,024,535.57
  5. Step 5: Solve for x
    x = 2,024,535.57/2,102.68
  6. Step 6: Final answer
    x = 962.84

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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.