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Finding the Fourth Proportional to 2,230.54, 3,349.05 and 1,647.34

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Solution

The fourth proportional to 2,230.54, 3,349.05 and 1,647.34 is: 2,473.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,230.54 : 3,349.05 = 1,647.34 : x
  2. Step 2: Convert to fraction form
    2,230.54/3,349.05 = 1,647.34/x
  3. Step 3: Cross multiply
    2,230.54x = 3,349.05 × 1,647.34
  4. Step 4: Simplify right side
    2,230.54x = 5,517,024.03
  5. Step 5: Solve for x
    x = 5,517,024.03/2,230.54
  6. Step 6: Final answer
    x = 2,473.40

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.