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Finding the Fourth Proportional to 2,228.52, 3,343.09 and 929.69

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Solution

The fourth proportional to 2,228.52, 3,343.09 and 929.69 is: 1,394.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,228.52 : 3,343.09 = 929.69 : x
  2. Step 2: Convert to fraction form
    2,228.52/3,343.09 = 929.69/x
  3. Step 3: Cross multiply
    2,228.52x = 3,343.09 × 929.69
  4. Step 4: Simplify right side
    2,228.52x = 3,108,037.34
  5. Step 5: Solve for x
    x = 3,108,037.34/2,228.52
  6. Step 6: Final answer
    x = 1,394.66

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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.