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Finding the Fourth Proportional to 2,464.85, 3,695.58 and 821.22

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Solution

The fourth proportional to 2,464.85, 3,695.58 and 821.22 is: 1,231.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,464.85 : 3,695.58 = 821.22 : x
  2. Step 2: Convert to fraction form
    2,464.85/3,695.58 = 821.22/x
  3. Step 3: Cross multiply
    2,464.85x = 3,695.58 × 821.22
  4. Step 4: Simplify right side
    2,464.85x = 3,034,884.21
  5. Step 5: Solve for x
    x = 3,034,884.21/2,464.85
  6. Step 6: Final answer
    x = 1,231.27

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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.