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Finding the Fourth Proportional to 2,840.32, 3,919.36 and 1,597.44

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Solution

The fourth proportional to 2,840.32, 3,919.36 and 1,597.44 is: 2,204.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,840.32 : 3,919.36 = 1,597.44 : x
  2. Step 2: Convert to fraction form
    2,840.32/3,919.36 = 1,597.44/x
  3. Step 3: Cross multiply
    2,840.32x = 3,919.36 × 1,597.44
  4. Step 4: Simplify right side
    2,840.32x = 6,260,942.44
  5. Step 5: Solve for x
    x = 6,260,942.44/2,840.32
  6. Step 6: Final answer
    x = 2,204.31

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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.