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Finding the Fourth Proportional to 3,317.94, 4,977.07 and 1,469.07

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Solution

The fourth proportional to 3,317.94, 4,977.07 and 1,469.07 is: 2,203.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,317.94 : 4,977.07 = 1,469.07 : x
  2. Step 2: Convert to fraction form
    3,317.94/4,977.07 = 1,469.07/x
  3. Step 3: Cross multiply
    3,317.94x = 4,977.07 × 1,469.07
  4. Step 4: Simplify right side
    3,317.94x = 7,311,660.55
  5. Step 5: Solve for x
    x = 7,311,660.55/3,317.94
  6. Step 6: Final answer
    x = 2,203.67

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.