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Finding the Fourth Proportional to 1,884.57, 2,826.33 and 1,190.22

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Solution

The fourth proportional to 1,884.57, 2,826.33 and 1,190.22 is: 1,785.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,884.57 : 2,826.33 = 1,190.22 : x
  2. Step 2: Convert to fraction form
    1,884.57/2,826.33 = 1,190.22/x
  3. Step 3: Cross multiply
    1,884.57x = 2,826.33 × 1,190.22
  4. Step 4: Simplify right side
    1,884.57x = 3,363,954.49
  5. Step 5: Solve for x
    x = 3,363,954.49/1,884.57
  6. Step 6: Final answer
    x = 1,785.00

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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.