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Finding the Fourth Proportional to 2,769.48, 3,821.64 and 1,590.48

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Solution

The fourth proportional to 2,769.48, 3,821.64 and 1,590.48 is: 2,194.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,769.48 : 3,821.64 = 1,590.48 : x
  2. Step 2: Convert to fraction form
    2,769.48/3,821.64 = 1,590.48/x
  3. Step 3: Cross multiply
    2,769.48x = 3,821.64 × 1,590.48
  4. Step 4: Simplify right side
    2,769.48x = 6,078,241.99
  5. Step 5: Solve for x
    x = 6,078,241.99/2,769.48
  6. Step 6: Final answer
    x = 2,194.72

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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.