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Finding the Fourth Proportional to 3,199.94, 4,792.95 and 1,736

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Solution

The fourth proportional to 3,199.94, 4,792.95 and 1,736 is: 2,600.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,199.94 : 4,792.95 = 1,736 : x
  2. Step 2: Convert to fraction form
    3,199.94/4,792.95 = 1,736/x
  3. Step 3: Cross multiply
    3,199.94x = 4,792.95 × 1,736
  4. Step 4: Simplify right side
    3,199.94x = 8,320,561.20
  5. Step 5: Solve for x
    x = 8,320,561.20/3,199.94
  6. Step 6: Final answer
    x = 2,600.22

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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.