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Finding the Fourth Proportional to 2,236.58, 3,354.83 and 547.98

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Solution

The fourth proportional to 2,236.58, 3,354.83 and 547.98 is: 821.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,236.58 : 3,354.83 = 547.98 : x
  2. Step 2: Convert to fraction form
    2,236.58/3,354.83 = 547.98/x
  3. Step 3: Cross multiply
    2,236.58x = 3,354.83 × 547.98
  4. Step 4: Simplify right side
    2,236.58x = 1,838,379.74
  5. Step 5: Solve for x
    x = 1,838,379.74/2,236.58
  6. Step 6: Final answer
    x = 821.96

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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.