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Finding the Fourth Proportional to 2,296.96, 3,443.52 and 928

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Solution

The fourth proportional to 2,296.96, 3,443.52 and 928 is: 1,391.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,296.96 : 3,443.52 = 928 : x
  2. Step 2: Convert to fraction form
    2,296.96/3,443.52 = 928/x
  3. Step 3: Cross multiply
    2,296.96x = 3,443.52 × 928
  4. Step 4: Simplify right side
    2,296.96x = 3,195,586.56
  5. Step 5: Solve for x
    x = 3,195,586.56/2,296.96
  6. Step 6: Final answer
    x = 1,391.22

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Why These Related Problems?

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