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Finding the Fourth Proportional to 3,297.29, 4,946.81 and 1,448.82

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Solution

The fourth proportional to 3,297.29, 4,946.81 and 1,448.82 is: 2,173.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,297.29 : 4,946.81 = 1,448.82 : x
  2. Step 2: Convert to fraction form
    3,297.29/4,946.81 = 1,448.82/x
  3. Step 3: Cross multiply
    3,297.29x = 4,946.81 × 1,448.82
  4. Step 4: Simplify right side
    3,297.29x = 7,167,030.02
  5. Step 5: Solve for x
    x = 7,167,030.02/3,297.29
  6. Step 6: Final answer
    x = 2,173.62

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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.