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Finding the Fourth Proportional to 2,767.44, 4,157.64 and 2,378.64

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Solution

The fourth proportional to 2,767.44, 4,157.64 and 2,378.64 is: 3,573.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,767.44 : 4,157.64 = 2,378.64 : x
  2. Step 2: Convert to fraction form
    2,767.44/4,157.64 = 2,378.64/x
  3. Step 3: Cross multiply
    2,767.44x = 4,157.64 × 2,378.64
  4. Step 4: Simplify right side
    2,767.44x = 9,889,528.81
  5. Step 5: Solve for x
    x = 9,889,528.81/2,767.44
  6. Step 6: Final answer
    x = 3,573.53

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.