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Finding the Fourth Proportional to 3,232.53, 4,848.74 and 1,842.91

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Solution

The fourth proportional to 3,232.53, 4,848.74 and 1,842.91 is: 2,764.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,232.53 : 4,848.74 = 1,842.91 : x
  2. Step 2: Convert to fraction form
    3,232.53/4,848.74 = 1,842.91/x
  3. Step 3: Cross multiply
    3,232.53x = 4,848.74 × 1,842.91
  4. Step 4: Simplify right side
    3,232.53x = 8,935,791.43
  5. Step 5: Solve for x
    x = 8,935,791.43/3,232.53
  6. Step 6: Final answer
    x = 2,764.33

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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.