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Finding the Fourth Proportional to 2,568.58, 3,853.10 and 925.29

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Solution

The fourth proportional to 2,568.58, 3,853.10 and 925.29 is: 1,388.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,568.58 : 3,853.10 = 925.29 : x
  2. Step 2: Convert to fraction form
    2,568.58/3,853.10 = 925.29/x
  3. Step 3: Cross multiply
    2,568.58x = 3,853.10 × 925.29
  4. Step 4: Simplify right side
    2,568.58x = 3,565,237.21
  5. Step 5: Solve for x
    x = 3,565,237.21/2,568.58
  6. Step 6: Final answer
    x = 1,388.02

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.