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Finding the Fourth Proportional to 2,464.31, 3,697.02 and 821.02

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Solution

The fourth proportional to 2,464.31, 3,697.02 and 821.02 is: 1,231.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,464.31 : 3,697.02 = 821.02 : x
  2. Step 2: Convert to fraction form
    2,464.31/3,697.02 = 821.02/x
  3. Step 3: Cross multiply
    2,464.31x = 3,697.02 × 821.02
  4. Step 4: Simplify right side
    2,464.31x = 3,035,327.36
  5. Step 5: Solve for x
    x = 3,035,327.36/2,464.31
  6. Step 6: Final answer
    x = 1,231.71

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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.