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Finding the Fourth Proportional to 2,053.94, 3,079.68 and 821.92

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Solution

The fourth proportional to 2,053.94, 3,079.68 and 821.92 is: 1,232.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,053.94 : 3,079.68 = 821.92 : x
  2. Step 2: Convert to fraction form
    2,053.94/3,079.68 = 821.92/x
  3. Step 3: Cross multiply
    2,053.94x = 3,079.68 × 821.92
  4. Step 4: Simplify right side
    2,053.94x = 2,531,250.59
  5. Step 5: Solve for x
    x = 2,531,250.59/2,053.94
  6. Step 6: Final answer
    x = 1,232.39

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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.