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Finding the Fourth Proportional to 2,723.69, 3,758.62 and 1,604.67

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Solution

The fourth proportional to 2,723.69, 3,758.62 and 1,604.67 is: 2,214.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,723.69 : 3,758.62 = 1,604.67 : x
  2. Step 2: Convert to fraction form
    2,723.69/3,758.62 = 1,604.67/x
  3. Step 3: Cross multiply
    2,723.69x = 3,758.62 × 1,604.67
  4. Step 4: Simplify right side
    2,723.69x = 6,031,336.73
  5. Step 5: Solve for x
    x = 6,031,336.73/2,723.69
  6. Step 6: Final answer
    x = 2,214.40

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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.