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Finding the Fourth Proportional to 1,927.86, 2,892.10 and 832.56

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Solution

The fourth proportional to 1,927.86, 2,892.10 and 832.56 is: 1,248.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,927.86 : 2,892.10 = 832.56 : x
  2. Step 2: Convert to fraction form
    1,927.86/2,892.10 = 832.56/x
  3. Step 3: Cross multiply
    1,927.86x = 2,892.10 × 832.56
  4. Step 4: Simplify right side
    1,927.86x = 2,407,846.78
  5. Step 5: Solve for x
    x = 2,407,846.78/1,927.86
  6. Step 6: Final answer
    x = 1,248.97

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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.