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Finding the Fourth Proportional to 2,769.42, 3,821.76 and 1,590.42

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Solution

The fourth proportional to 2,769.42, 3,821.76 and 1,590.42 is: 2,194.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,769.42 : 3,821.76 = 1,590.42 : x
  2. Step 2: Convert to fraction form
    2,769.42/3,821.76 = 1,590.42/x
  3. Step 3: Cross multiply
    2,769.42x = 3,821.76 × 1,590.42
  4. Step 4: Simplify right side
    2,769.42x = 6,078,203.54
  5. Step 5: Solve for x
    x = 6,078,203.54/2,769.42
  6. Step 6: Final answer
    x = 2,194.76

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.