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Finding the Fourth Proportional to 2,224.36, 3,068.10 and 1,438.84

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Solution

The fourth proportional to 2,224.36, 3,068.10 and 1,438.84 is: 1,984.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,224.36 : 3,068.10 = 1,438.84 : x
  2. Step 2: Convert to fraction form
    2,224.36/3,068.10 = 1,438.84/x
  3. Step 3: Cross multiply
    2,224.36x = 3,068.10 × 1,438.84
  4. Step 4: Simplify right side
    2,224.36x = 4,414,505.00
  5. Step 5: Solve for x
    x = 4,414,505.00/2,224.36
  6. Step 6: Final answer
    x = 1,984.62

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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.