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Finding the Fourth Proportional to 1,297.43, 1,938.11 and 1,167.22

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Solution

The fourth proportional to 1,297.43, 1,938.11 and 1,167.22 is: 1,743.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,297.43 : 1,938.11 = 1,167.22 : x
  2. Step 2: Convert to fraction form
    1,297.43/1,938.11 = 1,167.22/x
  3. Step 3: Cross multiply
    1,297.43x = 1,938.11 × 1,167.22
  4. Step 4: Simplify right side
    1,297.43x = 2,262,200.75
  5. Step 5: Solve for x
    x = 2,262,200.75/1,297.43
  6. Step 6: Final answer
    x = 1,743.60

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.