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Finding the Fourth Proportional to 2,044.71, 3,064.79 and 811.79

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Solution

The fourth proportional to 2,044.71, 3,064.79 and 811.79 is: 1,216.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,044.71 : 3,064.79 = 811.79 : x
  2. Step 2: Convert to fraction form
    2,044.71/3,064.79 = 811.79/x
  3. Step 3: Cross multiply
    2,044.71x = 3,064.79 × 811.79
  4. Step 4: Simplify right side
    2,044.71x = 2,487,959.51
  5. Step 5: Solve for x
    x = 2,487,959.51/2,044.71
  6. Step 6: Final answer
    x = 1,216.78

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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.