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Finding the Fourth Proportional to 2,912.24, 4,019 and 1,670

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Solution

The fourth proportional to 2,912.24, 4,019 and 1,670 is: 2,304.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,912.24 : 4,019 = 1,670 : x
  2. Step 2: Convert to fraction form
    2,912.24/4,019 = 1,670/x
  3. Step 3: Cross multiply
    2,912.24x = 4,019 × 1,670
  4. Step 4: Simplify right side
    2,912.24x = 6,711,730
  5. Step 5: Solve for x
    x = 6,711,730/2,912.24
  6. Step 6: Final answer
    x = 2,304.66

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Why These Related Problems?

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