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Finding the Fourth Proportional to 2,788.16, 3,847.41 and 2,003.45

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Solution

The fourth proportional to 2,788.16, 3,847.41 and 2,003.45 is: 2,764.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,788.16 : 3,847.41 = 2,003.45 : x
  2. Step 2: Convert to fraction form
    2,788.16/3,847.41 = 2,003.45/x
  3. Step 3: Cross multiply
    2,788.16x = 3,847.41 × 2,003.45
  4. Step 4: Simplify right side
    2,788.16x = 7,708,074.33
  5. Step 5: Solve for x
    x = 7,708,074.33/2,788.16
  6. Step 6: Final answer
    x = 2,764.58

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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.