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Finding the Fourth Proportional to 2,098.67, 3,147.80 and 637.84

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Solution

The fourth proportional to 2,098.67, 3,147.80 and 637.84 is: 956.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,098.67 : 3,147.80 = 637.84 : x
  2. Step 2: Convert to fraction form
    2,098.67/3,147.80 = 637.84/x
  3. Step 3: Cross multiply
    2,098.67x = 3,147.80 × 637.84
  4. Step 4: Simplify right side
    2,098.67x = 2,007,792.75
  5. Step 5: Solve for x
    x = 2,007,792.75/2,098.67
  6. Step 6: Final answer
    x = 956.70

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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.