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Finding the Fourth Proportional to 1,712.10, 2,568.42 and 738.21

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Solution

The fourth proportional to 1,712.10, 2,568.42 and 738.21 is: 1,107.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,712.10 : 2,568.42 = 738.21 : x
  2. Step 2: Convert to fraction form
    1,712.10/2,568.42 = 738.21/x
  3. Step 3: Cross multiply
    1,712.10x = 2,568.42 × 738.21
  4. Step 4: Simplify right side
    1,712.10x = 1,896,033.33
  5. Step 5: Solve for x
    x = 1,896,033.33/1,712.10
  6. Step 6: Final answer
    x = 1,107.43

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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.