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Finding the Fourth Proportional to 2,000.93, 2,999.34 and 768.01

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Solution

The fourth proportional to 2,000.93, 2,999.34 and 768.01 is: 1,151.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,000.93 : 2,999.34 = 768.01 : x
  2. Step 2: Convert to fraction form
    2,000.93/2,999.34 = 768.01/x
  3. Step 3: Cross multiply
    2,000.93x = 2,999.34 × 768.01
  4. Step 4: Simplify right side
    2,000.93x = 2,303,517.54
  5. Step 5: Solve for x
    x = 2,303,517.54/2,000.93
  6. Step 6: Final answer
    x = 1,151.22

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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.