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Finding the Fourth Proportional to 2,476.64, 3,713.65 and 832.66

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Solution

The fourth proportional to 2,476.64, 3,713.65 and 832.66 is: 1,248.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,476.64 : 3,713.65 = 832.66 : x
  2. Step 2: Convert to fraction form
    2,476.64/3,713.65 = 832.66/x
  3. Step 3: Cross multiply
    2,476.64x = 3,713.65 × 832.66
  4. Step 4: Simplify right side
    2,476.64x = 3,092,196.44
  5. Step 5: Solve for x
    x = 3,092,196.44/2,476.64
  6. Step 6: Final answer
    x = 1,248.54

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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.