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Finding the Fourth Proportional to 2,098.53, 3,147.24 and 637.70

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Solution

The fourth proportional to 2,098.53, 3,147.24 and 637.70 is: 956.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,098.53 : 3,147.24 = 637.70 : x
  2. Step 2: Convert to fraction form
    2,098.53/3,147.24 = 637.70/x
  3. Step 3: Cross multiply
    2,098.53x = 3,147.24 × 637.70
  4. Step 4: Simplify right side
    2,098.53x = 2,006,994.95
  5. Step 5: Solve for x
    x = 2,006,994.95/2,098.53
  6. Step 6: Final answer
    x = 956.38

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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.