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Finding the Fourth Proportional to 2,230.56, 3,078.81 and 1,346.42

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Solution

The fourth proportional to 2,230.56, 3,078.81 and 1,346.42 is: 1,858.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,230.56 : 3,078.81 = 1,346.42 : x
  2. Step 2: Convert to fraction form
    2,230.56/3,078.81 = 1,346.42/x
  3. Step 3: Cross multiply
    2,230.56x = 3,078.81 × 1,346.42
  4. Step 4: Simplify right side
    2,230.56x = 4,145,379.06
  5. Step 5: Solve for x
    x = 4,145,379.06/2,230.56
  6. Step 6: Final answer
    x = 1,858.45

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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.