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Finding the Fourth Proportional to 2,476.08, 3,713.44 and 832.68

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Solution

The fourth proportional to 2,476.08, 3,713.44 and 832.68 is: 1,248.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,476.08 : 3,713.44 = 832.68 : x
  2. Step 2: Convert to fraction form
    2,476.08/3,713.44 = 832.68/x
  3. Step 3: Cross multiply
    2,476.08x = 3,713.44 × 832.68
  4. Step 4: Simplify right side
    2,476.08x = 3,092,107.22
  5. Step 5: Solve for x
    x = 3,092,107.22/2,476.08
  6. Step 6: Final answer
    x = 1,248.79

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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.