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Finding the Fourth Proportional to 2,170.64, 2,996.04 and 1,385.36

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Solution

The fourth proportional to 2,170.64, 2,996.04 and 1,385.36 is: 1,912.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,170.64 : 2,996.04 = 1,385.36 : x
  2. Step 2: Convert to fraction form
    2,170.64/2,996.04 = 1,385.36/x
  3. Step 3: Cross multiply
    2,170.64x = 2,996.04 × 1,385.36
  4. Step 4: Simplify right side
    2,170.64x = 4,150,593.97
  5. Step 5: Solve for x
    x = 4,150,593.97/2,170.64
  6. Step 6: Final answer
    x = 1,912.15

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.