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Finding the Fourth Proportional to 2,147.13, 3,220.56 and 608.13

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Solution

The fourth proportional to 2,147.13, 3,220.56 and 608.13 is: 912.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,147.13 : 3,220.56 = 608.13 : x
  2. Step 2: Convert to fraction form
    2,147.13/3,220.56 = 608.13/x
  3. Step 3: Cross multiply
    2,147.13x = 3,220.56 × 608.13
  4. Step 4: Simplify right side
    2,147.13x = 1,958,519.15
  5. Step 5: Solve for x
    x = 1,958,519.15/2,147.13
  6. Step 6: Final answer
    x = 912.16

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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.