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Finding the Fourth Proportional to 3,190.23, 4,785.59 and 881.73

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Solution

The fourth proportional to 3,190.23, 4,785.59 and 881.73 is: 1,322.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,190.23 : 4,785.59 = 881.73 : x
  2. Step 2: Convert to fraction form
    3,190.23/4,785.59 = 881.73/x
  3. Step 3: Cross multiply
    3,190.23x = 4,785.59 × 881.73
  4. Step 4: Simplify right side
    3,190.23x = 4,219,600.48
  5. Step 5: Solve for x
    x = 4,219,600.48/3,190.23
  6. Step 6: Final answer
    x = 1,322.66

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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.