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Finding the Fourth Proportional to 2,468.64, 3,703.20 and 825.36

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Solution

The fourth proportional to 2,468.64, 3,703.20 and 825.36 is: 1,238.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,468.64 : 3,703.20 = 825.36 : x
  2. Step 2: Convert to fraction form
    2,468.64/3,703.20 = 825.36/x
  3. Step 3: Cross multiply
    2,468.64x = 3,703.20 × 825.36
  4. Step 4: Simplify right side
    2,468.64x = 3,056,473.15
  5. Step 5: Solve for x
    x = 3,056,473.15/2,468.64
  6. Step 6: Final answer
    x = 1,238.12

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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.