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Finding the Fourth Proportional to 3,232.63, 4,848.04 and 892.08

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Solution

The fourth proportional to 3,232.63, 4,848.04 and 892.08 is: 1,337.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,232.63 : 4,848.04 = 892.08 : x
  2. Step 2: Convert to fraction form
    3,232.63/4,848.04 = 892.08/x
  3. Step 3: Cross multiply
    3,232.63x = 4,848.04 × 892.08
  4. Step 4: Simplify right side
    3,232.63x = 4,324,839.52
  5. Step 5: Solve for x
    x = 4,324,839.52/3,232.63
  6. Step 6: Final answer
    x = 1,337.87

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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.