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Finding the Fourth Proportional to 2,230.86, 3,078.54 and 1,236.12

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Solution

The fourth proportional to 2,230.86, 3,078.54 and 1,236.12 is: 1,705.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,230.86 : 3,078.54 = 1,236.12 : x
  2. Step 2: Convert to fraction form
    2,230.86/3,078.54 = 1,236.12/x
  3. Step 3: Cross multiply
    2,230.86x = 3,078.54 × 1,236.12
  4. Step 4: Simplify right side
    2,230.86x = 3,805,437.96
  5. Step 5: Solve for x
    x = 3,805,437.96/2,230.86
  6. Step 6: Final answer
    x = 1,705.82

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.