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Finding the Fourth Proportional to 2,996.76, 4,496.04 and 1,147.92

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Solution

The fourth proportional to 2,996.76, 4,496.04 and 1,147.92 is: 1,722.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,996.76 : 4,496.04 = 1,147.92 : x
  2. Step 2: Convert to fraction form
    2,996.76/4,496.04 = 1,147.92/x
  3. Step 3: Cross multiply
    2,996.76x = 4,496.04 × 1,147.92
  4. Step 4: Simplify right side
    2,996.76x = 5,161,094.24
  5. Step 5: Solve for x
    x = 5,161,094.24/2,996.76
  6. Step 6: Final answer
    x = 1,722.22

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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.