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Finding the Fourth Proportional to 2,468.96, 3,703.63 and 825.51

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Solution

The fourth proportional to 2,468.96, 3,703.63 and 825.51 is: 1,238.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,468.96 : 3,703.63 = 825.51 : x
  2. Step 2: Convert to fraction form
    2,468.96/3,703.63 = 825.51/x
  3. Step 3: Cross multiply
    2,468.96x = 3,703.63 × 825.51
  4. Step 4: Simplify right side
    2,468.96x = 3,057,379.47
  5. Step 5: Solve for x
    x = 3,057,379.47/2,468.96
  6. Step 6: Final answer
    x = 1,238.33

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1.5x scale

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.