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Finding the Fourth Proportional to 3,190.52, 4,785.24 and 882.02

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Solution

The fourth proportional to 3,190.52, 4,785.24 and 882.02 is: 1,322.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,190.52 : 4,785.24 = 882.02 : x
  2. Step 2: Convert to fraction form
    3,190.52/4,785.24 = 882.02/x
  3. Step 3: Cross multiply
    3,190.52x = 4,785.24 × 882.02
  4. Step 4: Simplify right side
    3,190.52x = 4,220,677.38
  5. Step 5: Solve for x
    x = 4,220,677.38/3,190.52
  6. Step 6: Final answer
    x = 1,322.88

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.