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Finding the Fourth Proportional to 2,230.56, 3,078.18 and 1,299

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Solution

The fourth proportional to 2,230.56, 3,078.18 and 1,299 is: 1,792.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,230.56 : 3,078.18 = 1,299 : x
  2. Step 2: Convert to fraction form
    2,230.56/3,078.18 = 1,299/x
  3. Step 3: Cross multiply
    2,230.56x = 3,078.18 × 1,299
  4. Step 4: Simplify right side
    2,230.56x = 3,998,555.82
  5. Step 5: Solve for x
    x = 3,998,555.82/2,230.56
  6. Step 6: Final answer
    x = 1,792.62

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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.