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Finding the Fourth Proportional to 2,204.99, 3,042.81 and 1,210.22

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Solution

The fourth proportional to 2,204.99, 3,042.81 and 1,210.22 is: 1,670.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,204.99 : 3,042.81 = 1,210.22 : x
  2. Step 2: Convert to fraction form
    2,204.99/3,042.81 = 1,210.22/x
  3. Step 3: Cross multiply
    2,204.99x = 3,042.81 × 1,210.22
  4. Step 4: Simplify right side
    2,204.99x = 3,682,469.52
  5. Step 5: Solve for x
    x = 3,682,469.52/2,204.99
  6. Step 6: Final answer
    x = 1,670.06

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.