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Finding the Fourth Proportional to 2,464.98, 3,696.24 and 820.95

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Solution

The fourth proportional to 2,464.98, 3,696.24 and 820.95 is: 1,231.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,464.98 : 3,696.24 = 820.95 : x
  2. Step 2: Convert to fraction form
    2,464.98/3,696.24 = 820.95/x
  3. Step 3: Cross multiply
    2,464.98x = 3,696.24 × 820.95
  4. Step 4: Simplify right side
    2,464.98x = 3,034,428.23
  5. Step 5: Solve for x
    x = 3,034,428.23/2,464.98
  6. Step 6: Final answer
    x = 1,231.02

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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.