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Finding the Fourth Proportional to 2,044.62, 3,064.74 and 811.53

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Solution

The fourth proportional to 2,044.62, 3,064.74 and 811.53 is: 1,216.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,044.62 : 3,064.74 = 811.53 : x
  2. Step 2: Convert to fraction form
    2,044.62/3,064.74 = 811.53/x
  3. Step 3: Cross multiply
    2,044.62x = 3,064.74 × 811.53
  4. Step 4: Simplify right side
    2,044.62x = 2,487,128.45
  5. Step 5: Solve for x
    x = 2,487,128.45/2,044.62
  6. Step 6: Final answer
    x = 1,216.43

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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.