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Finding the Fourth Proportional to 2,996.16, 4,493.92 and 944

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Solution

The fourth proportional to 2,996.16, 4,493.92 and 944 is: 1,415.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,996.16 : 4,493.92 = 944 : x
  2. Step 2: Convert to fraction form
    2,996.16/4,493.92 = 944/x
  3. Step 3: Cross multiply
    2,996.16x = 4,493.92 × 944
  4. Step 4: Simplify right side
    2,996.16x = 4,242,260.48
  5. Step 5: Solve for x
    x = 4,242,260.48/2,996.16
  6. Step 6: Final answer
    x = 1,415.90

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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.