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Finding the Fourth Proportional to 3,190.32, 4,785.49 and 881.82

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Solution

The fourth proportional to 3,190.32, 4,785.49 and 881.82 is: 1,322.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,190.32 : 4,785.49 = 881.82 : x
  2. Step 2: Convert to fraction form
    3,190.32/4,785.49 = 881.82/x
  3. Step 3: Cross multiply
    3,190.32x = 4,785.49 × 881.82
  4. Step 4: Simplify right side
    3,190.32x = 4,219,957.74
  5. Step 5: Solve for x
    x = 4,219,957.74/3,190.32
  6. Step 6: Final answer
    x = 1,322.74

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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.