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Finding the Fourth Proportional to 2,066.02, 3,099.70 and 832.80

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Solution

The fourth proportional to 2,066.02, 3,099.70 and 832.80 is: 1,249.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,066.02 : 3,099.70 = 832.80 : x
  2. Step 2: Convert to fraction form
    2,066.02/3,099.70 = 832.80/x
  3. Step 3: Cross multiply
    2,066.02x = 3,099.70 × 832.80
  4. Step 4: Simplify right side
    2,066.02x = 2,581,430.16
  5. Step 5: Solve for x
    x = 2,581,430.16/2,066.02
  6. Step 6: Final answer
    x = 1,249.47

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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.