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Finding the Fourth Proportional to 3,296.75, 4,946.00 and 1,448.24

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Solution

The fourth proportional to 3,296.75, 4,946.00 and 1,448.24 is: 2,172.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,296.75 : 4,946.00 = 1,448.24 : x
  2. Step 2: Convert to fraction form
    3,296.75/4,946.00 = 1,448.24/x
  3. Step 3: Cross multiply
    3,296.75x = 4,946.00 × 1,448.24
  4. Step 4: Simplify right side
    3,296.75x = 7,162,963.07
  5. Step 5: Solve for x
    x = 7,162,963.07/3,296.75
  6. Step 6: Final answer
    x = 2,172.74

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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.