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Finding the Fourth Proportional to 2,723.70, 3,758.13 and 1,604.23

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Solution

The fourth proportional to 2,723.70, 3,758.13 and 1,604.23 is: 2,213.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,723.70 : 3,758.13 = 1,604.23 : x
  2. Step 2: Convert to fraction form
    2,723.70/3,758.13 = 1,604.23/x
  3. Step 3: Cross multiply
    2,723.70x = 3,758.13 × 1,604.23
  4. Step 4: Simplify right side
    2,723.70x = 6,028,904.89
  5. Step 5: Solve for x
    x = 6,028,904.89/2,723.70
  6. Step 6: Final answer
    x = 2,213.50

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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.