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Finding the Fourth Proportional to 2,001.86, 3,001.64 and 768.50

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Solution

The fourth proportional to 2,001.86, 3,001.64 and 768.50 is: 1,152.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,001.86 : 3,001.64 = 768.50 : x
  2. Step 2: Convert to fraction form
    2,001.86/3,001.64 = 768.50/x
  3. Step 3: Cross multiply
    2,001.86x = 3,001.64 × 768.50
  4. Step 4: Simplify right side
    2,001.86x = 2,306,760.34
  5. Step 5: Solve for x
    x = 2,306,760.34/2,001.86
  6. Step 6: Final answer
    x = 1,152.31

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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.