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Finding the Fourth Proportional to 3,199.36, 4,797.42 and 1,466.50

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Solution

The fourth proportional to 3,199.36, 4,797.42 and 1,466.50 is: 2,199.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,199.36 : 4,797.42 = 1,466.50 : x
  2. Step 2: Convert to fraction form
    3,199.36/4,797.42 = 1,466.50/x
  3. Step 3: Cross multiply
    3,199.36x = 4,797.42 × 1,466.50
  4. Step 4: Simplify right side
    3,199.36x = 7,035,416.43
  5. Step 5: Solve for x
    x = 7,035,416.43/3,199.36
  6. Step 6: Final answer
    x = 2,199.01

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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.