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Finding the Fourth Proportional to 2,129.83, 3,194.49 and 569.95

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Solution

The fourth proportional to 2,129.83, 3,194.49 and 569.95 is: 854.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,129.83 : 3,194.49 = 569.95 : x
  2. Step 2: Convert to fraction form
    2,129.83/3,194.49 = 569.95/x
  3. Step 3: Cross multiply
    2,129.83x = 3,194.49 × 569.95
  4. Step 4: Simplify right side
    2,129.83x = 1,820,699.58
  5. Step 5: Solve for x
    x = 1,820,699.58/2,129.83
  6. Step 6: Final answer
    x = 854.86

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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.