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Finding the Fourth Proportional to 2,568.72, 3,853.80 and 925.20

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Solution

The fourth proportional to 2,568.72, 3,853.80 and 925.20 is: 1,388.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,568.72 : 3,853.80 = 925.20 : x
  2. Step 2: Convert to fraction form
    2,568.72/3,853.80 = 925.20/x
  3. Step 3: Cross multiply
    2,568.72x = 3,853.80 × 925.20
  4. Step 4: Simplify right side
    2,568.72x = 3,565,535.76
  5. Step 5: Solve for x
    x = 3,565,535.76/2,568.72
  6. Step 6: Final answer
    x = 1,388.06

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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.