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Finding the Fourth Proportional to 2,236.14, 3,355.02 and 1,456.02

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Solution

The fourth proportional to 2,236.14, 3,355.02 and 1,456.02 is: 2,184.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,236.14 : 3,355.02 = 1,456.02 : x
  2. Step 2: Convert to fraction form
    2,236.14/3,355.02 = 1,456.02/x
  3. Step 3: Cross multiply
    2,236.14x = 3,355.02 × 1,456.02
  4. Step 4: Simplify right side
    2,236.14x = 4,884,976.22
  5. Step 5: Solve for x
    x = 4,884,976.22/2,236.14
  6. Step 6: Final answer
    x = 2,184.56

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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.