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Finding the Fourth Proportional to 2,229.02, 3,343.84 and 930.19

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Solution

The fourth proportional to 2,229.02, 3,343.84 and 930.19 is: 1,395.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,229.02 : 3,343.84 = 930.19 : x
  2. Step 2: Convert to fraction form
    2,229.02/3,343.84 = 930.19/x
  3. Step 3: Cross multiply
    2,229.02x = 3,343.84 × 930.19
  4. Step 4: Simplify right side
    2,229.02x = 3,110,406.53
  5. Step 5: Solve for x
    x = 3,110,406.53/2,229.02
  6. Step 6: Final answer
    x = 1,395.41

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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.