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Finding the Fourth Proportional to 2,236.14, 3,355.02 and 1,003.86

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Solution

The fourth proportional to 2,236.14, 3,355.02 and 1,003.86 is: 1,506.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,236.14 : 3,355.02 = 1,003.86 : x
  2. Step 2: Convert to fraction form
    2,236.14/3,355.02 = 1,003.86/x
  3. Step 3: Cross multiply
    2,236.14x = 3,355.02 × 1,003.86
  4. Step 4: Simplify right side
    2,236.14x = 3,367,970.38
  5. Step 5: Solve for x
    x = 3,367,970.38/2,236.14
  6. Step 6: Final answer
    x = 1,506.15

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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.