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Finding the Fourth Proportional to 2,129.89, 3,194.82 and 590.89

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Solution

The fourth proportional to 2,129.89, 3,194.82 and 590.89 is: 886.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,129.89 : 3,194.82 = 590.89 : x
  2. Step 2: Convert to fraction form
    2,129.89/3,194.82 = 590.89/x
  3. Step 3: Cross multiply
    2,129.89x = 3,194.82 × 590.89
  4. Step 4: Simplify right side
    2,129.89x = 1,887,787.19
  5. Step 5: Solve for x
    x = 1,887,787.19/2,129.89
  6. Step 6: Final answer
    x = 886.33

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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.