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Finding the Fourth Proportional to 2,464.01, 3,697.49 and 982.97

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Solution

The fourth proportional to 2,464.01, 3,697.49 and 982.97 is: 1,475.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,464.01 : 3,697.49 = 982.97 : x
  2. Step 2: Convert to fraction form
    2,464.01/3,697.49 = 982.97/x
  3. Step 3: Cross multiply
    2,464.01x = 3,697.49 × 982.97
  4. Step 4: Simplify right side
    2,464.01x = 3,634,516.83
  5. Step 5: Solve for x
    x = 3,634,516.83/2,464.01
  6. Step 6: Final answer
    x = 1,475.04

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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.