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Finding the Fourth Proportional to 2,169.97, 3,254.93 and 689.19

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Solution

The fourth proportional to 2,169.97, 3,254.93 and 689.19 is: 1,033.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,169.97 : 3,254.93 = 689.19 : x
  2. Step 2: Convert to fraction form
    2,169.97/3,254.93 = 689.19/x
  3. Step 3: Cross multiply
    2,169.97x = 3,254.93 × 689.19
  4. Step 4: Simplify right side
    2,169.97x = 2,243,265.21
  5. Step 5: Solve for x
    x = 2,243,265.21/2,169.97
  6. Step 6: Final answer
    x = 1,033.78

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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.