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Finding the Fourth Proportional to 3,190.20, 4,785.26 and 881.68

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Solution

The fourth proportional to 3,190.20, 4,785.26 and 881.68 is: 1,322.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,190.20 : 4,785.26 = 881.68 : x
  2. Step 2: Convert to fraction form
    3,190.20/4,785.26 = 881.68/x
  3. Step 3: Cross multiply
    3,190.20x = 4,785.26 × 881.68
  4. Step 4: Simplify right side
    3,190.20x = 4,219,068.04
  5. Step 5: Solve for x
    x = 4,219,068.04/3,190.20
  6. Step 6: Final answer
    x = 1,322.51

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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.