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Finding the Fourth Proportional to 2,467.25, 3,701.42 and 928.25

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Solution

The fourth proportional to 2,467.25, 3,701.42 and 928.25 is: 1,392.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,467.25 : 3,701.42 = 928.25 : x
  2. Step 2: Convert to fraction form
    2,467.25/3,701.42 = 928.25/x
  3. Step 3: Cross multiply
    2,467.25x = 3,701.42 × 928.25
  4. Step 4: Simplify right side
    2,467.25x = 3,435,843.12
  5. Step 5: Solve for x
    x = 3,435,843.12/2,467.25
  6. Step 6: Final answer
    x = 1,392.58

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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.