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Finding the Fourth Proportional to 3,317.68, 4,973.16 and 1,469.80

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Solution

The fourth proportional to 3,317.68, 4,973.16 and 1,469.80 is: 2,203.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,317.68 : 4,973.16 = 1,469.80 : x
  2. Step 2: Convert to fraction form
    3,317.68/4,973.16 = 1,469.80/x
  3. Step 3: Cross multiply
    3,317.68x = 4,973.16 × 1,469.80
  4. Step 4: Simplify right side
    3,317.68x = 7,309,550.57
  5. Step 5: Solve for x
    x = 7,309,550.57/3,317.68
  6. Step 6: Final answer
    x = 2,203.21

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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.