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Finding the Fourth Proportional to 2,285.48, 3,427.52 and 824.45

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Solution

The fourth proportional to 2,285.48, 3,427.52 and 824.45 is: 1,236.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,285.48 : 3,427.52 = 824.45 : x
  2. Step 2: Convert to fraction form
    2,285.48/3,427.52 = 824.45/x
  3. Step 3: Cross multiply
    2,285.48x = 3,427.52 × 824.45
  4. Step 4: Simplify right side
    2,285.48x = 2,825,797.60
  5. Step 5: Solve for x
    x = 2,825,797.60/2,285.48
  6. Step 6: Final answer
    x = 1,236.41

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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.