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Finding the Fourth Proportional to 2,097.40, 3,141.84 and 998.44

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Solution

The fourth proportional to 2,097.40, 3,141.84 and 998.44 is: 1,495.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,097.40 : 3,141.84 = 998.44 : x
  2. Step 2: Convert to fraction form
    2,097.40/3,141.84 = 998.44/x
  3. Step 3: Cross multiply
    2,097.40x = 3,141.84 × 998.44
  4. Step 4: Simplify right side
    2,097.40x = 3,136,938.73
  5. Step 5: Solve for x
    x = 3,136,938.73/2,097.40
  6. Step 6: Final answer
    x = 1,495.63

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1.5x scale

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.