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Finding the Fourth Proportional to 2,464.81, 3,696.42 and 820.92

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Solution

The fourth proportional to 2,464.81, 3,696.42 and 820.92 is: 1,231.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,464.81 : 3,696.42 = 820.92 : x
  2. Step 2: Convert to fraction form
    2,464.81/3,696.42 = 820.92/x
  3. Step 3: Cross multiply
    2,464.81x = 3,696.42 × 820.92
  4. Step 4: Simplify right side
    2,464.81x = 3,034,465.11
  5. Step 5: Solve for x
    x = 3,034,465.11/2,464.81
  6. Step 6: Final answer
    x = 1,231.12

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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.