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Finding the Fourth Proportional to 2,053.44, 3,079.20 and 1,221.36

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Solution

The fourth proportional to 2,053.44, 3,079.20 and 1,221.36 is: 1,831.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,053.44 : 3,079.20 = 1,221.36 : x
  2. Step 2: Convert to fraction form
    2,053.44/3,079.20 = 1,221.36/x
  3. Step 3: Cross multiply
    2,053.44x = 3,079.20 × 1,221.36
  4. Step 4: Simplify right side
    2,053.44x = 3,760,811.71
  5. Step 5: Solve for x
    x = 3,760,811.71/2,053.44
  6. Step 6: Final answer
    x = 1,831.47

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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.