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Finding the Fourth Proportional to 2,769.72, 3,822.18 and 1,590.80

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Solution

The fourth proportional to 2,769.72, 3,822.18 and 1,590.80 is: 2,195.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,769.72 : 3,822.18 = 1,590.80 : x
  2. Step 2: Convert to fraction form
    2,769.72/3,822.18 = 1,590.80/x
  3. Step 3: Cross multiply
    2,769.72x = 3,822.18 × 1,590.80
  4. Step 4: Simplify right side
    2,769.72x = 6,080,323.94
  5. Step 5: Solve for x
    x = 6,080,323.94/2,769.72
  6. Step 6: Final answer
    x = 2,195.28

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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.