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Finding the Fourth Proportional to 2,568.64, 3,852.94 and 925.17

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Solution

The fourth proportional to 2,568.64, 3,852.94 and 925.17 is: 1,387.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,568.64 : 3,852.94 = 925.17 : x
  2. Step 2: Convert to fraction form
    2,568.64/3,852.94 = 925.17/x
  3. Step 3: Cross multiply
    2,568.64x = 3,852.94 × 925.17
  4. Step 4: Simplify right side
    2,568.64x = 3,564,633.75
  5. Step 5: Solve for x
    x = 3,564,633.75/2,568.64
  6. Step 6: Final answer
    x = 1,387.75

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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.