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Finding the Fourth Proportional to 2,005.75, 3,007.47 and 773.00

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Solution

The fourth proportional to 2,005.75, 3,007.47 and 773.00 is: 1,159.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,005.75 : 3,007.47 = 773.00 : x
  2. Step 2: Convert to fraction form
    2,005.75/3,007.47 = 773.00/x
  3. Step 3: Cross multiply
    2,005.75x = 3,007.47 × 773.00
  4. Step 4: Simplify right side
    2,005.75x = 2,324,755.41
  5. Step 5: Solve for x
    x = 2,324,755.41/2,005.75
  6. Step 6: Final answer
    x = 1,159.05

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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.