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Finding the Fourth Proportional to 3,242.01, 4,475.62 and 2,064.68

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Solution

The fourth proportional to 3,242.01, 4,475.62 and 2,064.68 is: 2,850.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,242.01 : 4,475.62 = 2,064.68 : x
  2. Step 2: Convert to fraction form
    3,242.01/4,475.62 = 2,064.68/x
  3. Step 3: Cross multiply
    3,242.01x = 4,475.62 × 2,064.68
  4. Step 4: Simplify right side
    3,242.01x = 9,240,723.10
  5. Step 5: Solve for x
    x = 9,240,723.10/3,242.01
  6. Step 6: Final answer
    x = 2,850.31

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.