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Finding the Fourth Proportional to 2,228.78, 3,343.46 and 929.94

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Solution

The fourth proportional to 2,228.78, 3,343.46 and 929.94 is: 1,395.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,228.78 : 3,343.46 = 929.94 : x
  2. Step 2: Convert to fraction form
    2,228.78/3,343.46 = 929.94/x
  3. Step 3: Cross multiply
    2,228.78x = 3,343.46 × 929.94
  4. Step 4: Simplify right side
    2,228.78x = 3,109,217.19
  5. Step 5: Solve for x
    x = 3,109,217.19/2,228.78
  6. Step 6: Final answer
    x = 1,395.03

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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.