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Finding the Fourth Proportional to 2,568.92, 3,853.37 and 925.43

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Solution

The fourth proportional to 2,568.92, 3,853.37 and 925.43 is: 1,388.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,568.92 : 3,853.37 = 925.43 : x
  2. Step 2: Convert to fraction form
    2,568.92/3,853.37 = 925.43/x
  3. Step 3: Cross multiply
    2,568.92x = 3,853.37 × 925.43
  4. Step 4: Simplify right side
    2,568.92x = 3,566,000.31
  5. Step 5: Solve for x
    x = 3,566,000.31/2,568.92
  6. Step 6: Final answer
    x = 1,388.13

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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.