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Finding the Fourth Proportional to 1,927.32, 2,892.60 and 832.52

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Solution

The fourth proportional to 1,927.32, 2,892.60 and 832.52 is: 1,249.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,927.32 : 2,892.60 = 832.52 : x
  2. Step 2: Convert to fraction form
    1,927.32/2,892.60 = 832.52/x
  3. Step 3: Cross multiply
    1,927.32x = 2,892.60 × 832.52
  4. Step 4: Simplify right side
    1,927.32x = 2,408,132.89
  5. Step 5: Solve for x
    x = 2,408,132.89/1,927.32
  6. Step 6: Final answer
    x = 1,249.47

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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.