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Finding the Fourth Proportional to 2,285.25, 3,427.87 and 553.88

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Solution

The fourth proportional to 2,285.25, 3,427.87 and 553.88 is: 830.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,285.25 : 3,427.87 = 553.88 : x
  2. Step 2: Convert to fraction form
    2,285.25/3,427.87 = 553.88/x
  3. Step 3: Cross multiply
    2,285.25x = 3,427.87 × 553.88
  4. Step 4: Simplify right side
    2,285.25x = 1,898,628.64
  5. Step 5: Solve for x
    x = 1,898,628.64/2,285.25
  6. Step 6: Final answer
    x = 830.82

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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.