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Finding the Fourth Proportional to 2,723.79, 3,758.72 and 1,604.78

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Solution

The fourth proportional to 2,723.79, 3,758.72 and 1,604.78 is: 2,214.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,723.79 : 3,758.72 = 1,604.78 : x
  2. Step 2: Convert to fraction form
    2,723.79/3,758.72 = 1,604.78/x
  3. Step 3: Cross multiply
    2,723.79x = 3,758.72 × 1,604.78
  4. Step 4: Simplify right side
    2,723.79x = 6,031,891.86
  5. Step 5: Solve for x
    x = 6,031,891.86/2,723.79
  6. Step 6: Final answer
    x = 2,214.52

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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.