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Finding the Fourth Proportional to 2,769.70, 3,822.12 and 1,590.70

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Solution

The fourth proportional to 2,769.70, 3,822.12 and 1,590.70 is: 2,195.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,769.70 : 3,822.12 = 1,590.70 : x
  2. Step 2: Convert to fraction form
    2,769.70/3,822.12 = 1,590.70/x
  3. Step 3: Cross multiply
    2,769.70x = 3,822.12 × 1,590.70
  4. Step 4: Simplify right side
    2,769.70x = 6,079,846.28
  5. Step 5: Solve for x
    x = 6,079,846.28/2,769.70
  6. Step 6: Final answer
    x = 2,195.13

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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.