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Finding the Fourth Proportional to 2,203.52, 3,304.74 and 1,162.14

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Solution

The fourth proportional to 2,203.52, 3,304.74 and 1,162.14 is: 1,742.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,203.52 : 3,304.74 = 1,162.14 : x
  2. Step 2: Convert to fraction form
    2,203.52/3,304.74 = 1,162.14/x
  3. Step 3: Cross multiply
    2,203.52x = 3,304.74 × 1,162.14
  4. Step 4: Simplify right side
    2,203.52x = 3,840,570.54
  5. Step 5: Solve for x
    x = 3,840,570.54/2,203.52
  6. Step 6: Final answer
    x = 1,742.93

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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.