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Finding the Fourth Proportional to 2,053.44, 3,078.40 and 821.72

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Solution

The fourth proportional to 2,053.44, 3,078.40 and 821.72 is: 1,231.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,053.44 : 3,078.40 = 821.72 : x
  2. Step 2: Convert to fraction form
    2,053.44/3,078.40 = 821.72/x
  3. Step 3: Cross multiply
    2,053.44x = 3,078.40 × 821.72
  4. Step 4: Simplify right side
    2,053.44x = 2,529,582.85
  5. Step 5: Solve for x
    x = 2,529,582.85/2,053.44
  6. Step 6: Final answer
    x = 1,231.88

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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.