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Finding the Fourth Proportional to 2,653.67, 3,662.19 and 1,474.67

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Solution

The fourth proportional to 2,653.67, 3,662.19 and 1,474.67 is: 2,035.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,653.67 : 3,662.19 = 1,474.67 : x
  2. Step 2: Convert to fraction form
    2,653.67/3,662.19 = 1,474.67/x
  3. Step 3: Cross multiply
    2,653.67x = 3,662.19 × 1,474.67
  4. Step 4: Simplify right side
    2,653.67x = 5,400,530.88
  5. Step 5: Solve for x
    x = 5,400,530.88/2,653.67
  6. Step 6: Final answer
    x = 2,035.12

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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.