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Finding the Fourth Proportional to 2,053.56, 3,078.24 and 1,232.22

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Solution

The fourth proportional to 2,053.56, 3,078.24 and 1,232.22 is: 1,847.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,053.56 : 3,078.24 = 1,232.22 : x
  2. Step 2: Convert to fraction form
    2,053.56/3,078.24 = 1,232.22/x
  3. Step 3: Cross multiply
    2,053.56x = 3,078.24 × 1,232.22
  4. Step 4: Simplify right side
    2,053.56x = 3,793,068.89
  5. Step 5: Solve for x
    x = 3,793,068.89/2,053.56
  6. Step 6: Final answer
    x = 1,847.07

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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.