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Finding the Fourth Proportional to 2,129.78, 3,194.67 and 590.78

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Solution

The fourth proportional to 2,129.78, 3,194.67 and 590.78 is: 886.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,129.78 : 3,194.67 = 590.78 : x
  2. Step 2: Convert to fraction form
    2,129.78/3,194.67 = 590.78/x
  3. Step 3: Cross multiply
    2,129.78x = 3,194.67 × 590.78
  4. Step 4: Simplify right side
    2,129.78x = 1,887,347.14
  5. Step 5: Solve for x
    x = 1,887,347.14/2,129.78
  6. Step 6: Final answer
    x = 886.17

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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.