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Finding the Fourth Proportional to 2,768.96, 3,821.37 and 1,590.09

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Solution

The fourth proportional to 2,768.96, 3,821.37 and 1,590.09 is: 2,194.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,768.96 : 3,821.37 = 1,590.09 : x
  2. Step 2: Convert to fraction form
    2,768.96/3,821.37 = 1,590.09/x
  3. Step 3: Cross multiply
    2,768.96x = 3,821.37 × 1,590.09
  4. Step 4: Simplify right side
    2,768.96x = 6,076,322.22
  5. Step 5: Solve for x
    x = 6,076,322.22/2,768.96
  6. Step 6: Final answer
    x = 2,194.45

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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.