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Finding the Fourth Proportional to 1,550.02, 2,322.09 and 1,201.65

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Solution

The fourth proportional to 1,550.02, 2,322.09 and 1,201.65 is: 1,800.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,550.02 : 2,322.09 = 1,201.65 : x
  2. Step 2: Convert to fraction form
    1,550.02/2,322.09 = 1,201.65/x
  3. Step 3: Cross multiply
    1,550.02x = 2,322.09 × 1,201.65
  4. Step 4: Simplify right side
    1,550.02x = 2,790,335.25
  5. Step 5: Solve for x
    x = 2,790,335.25/1,550.02
  6. Step 6: Final answer
    x = 1,800.20

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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.