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Finding the Fourth Proportional to 2,001.76, 3,003.52 and 1,136.48

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Solution

The fourth proportional to 2,001.76, 3,003.52 and 1,136.48 is: 1,705.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,001.76 : 3,003.52 = 1,136.48 : x
  2. Step 2: Convert to fraction form
    2,001.76/3,003.52 = 1,136.48/x
  3. Step 3: Cross multiply
    2,001.76x = 3,003.52 × 1,136.48
  4. Step 4: Simplify right side
    2,001.76x = 3,413,440.41
  5. Step 5: Solve for x
    x = 3,413,440.41/2,001.76
  6. Step 6: Final answer
    x = 1,705.22

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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.