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Finding the Fourth Proportional to 2,468.11, 3,702.72 and 824.83

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Solution

The fourth proportional to 2,468.11, 3,702.72 and 824.83 is: 1,237.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,468.11 : 3,702.72 = 824.83 : x
  2. Step 2: Convert to fraction form
    2,468.11/3,702.72 = 824.83/x
  3. Step 3: Cross multiply
    2,468.11x = 3,702.72 × 824.83
  4. Step 4: Simplify right side
    2,468.11x = 3,054,114.54
  5. Step 5: Solve for x
    x = 3,054,114.54/2,468.11
  6. Step 6: Final answer
    x = 1,237.43

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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.