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Finding the Fourth Proportional to 2,996.53, 4,135.11 and 1,670.17

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Solution

The fourth proportional to 2,996.53, 4,135.11 and 1,670.17 is: 2,304.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,996.53 : 4,135.11 = 1,670.17 : x
  2. Step 2: Convert to fraction form
    2,996.53/4,135.11 = 1,670.17/x
  3. Step 3: Cross multiply
    2,996.53x = 4,135.11 × 1,670.17
  4. Step 4: Simplify right side
    2,996.53x = 6,906,336.67
  5. Step 5: Solve for x
    x = 6,906,336.67/2,996.53
  6. Step 6: Final answer
    x = 2,304.78

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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.