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Finding the Fourth Proportional to 3,048.22, 4,204.02 and 2,053.09

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Solution

The fourth proportional to 3,048.22, 4,204.02 and 2,053.09 is: 2,831.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,048.22 : 4,204.02 = 2,053.09 : x
  2. Step 2: Convert to fraction form
    3,048.22/4,204.02 = 2,053.09/x
  3. Step 3: Cross multiply
    3,048.22x = 4,204.02 × 2,053.09
  4. Step 4: Simplify right side
    3,048.22x = 8,631,220.91
  5. Step 5: Solve for x
    x = 8,631,220.91/3,048.22
  6. Step 6: Final answer
    x = 2,831.56

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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.