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Finding the Fourth Proportional to 2,231.40, 3,038.02 and 2,224.47

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Solution

The fourth proportional to 2,231.40, 3,038.02 and 2,224.47 is: 3,028.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,231.40 : 3,038.02 = 2,224.47 : x
  2. Step 2: Convert to fraction form
    2,231.40/3,038.02 = 2,224.47/x
  3. Step 3: Cross multiply
    2,231.40x = 3,038.02 × 2,224.47
  4. Step 4: Simplify right side
    2,231.40x = 6,757,984.35
  5. Step 5: Solve for x
    x = 6,757,984.35/2,231.40
  6. Step 6: Final answer
    x = 3,028.58

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These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.