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Finding the Fourth Proportional to 2,912.88, 4,023.94 and 2,258.16

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Solution

The fourth proportional to 2,912.88, 4,023.94 and 2,258.16 is: 3,119.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,912.88 : 4,023.94 = 2,258.16 : x
  2. Step 2: Convert to fraction form
    2,912.88/4,023.94 = 2,258.16/x
  3. Step 3: Cross multiply
    2,912.88x = 4,023.94 × 2,258.16
  4. Step 4: Simplify right side
    2,912.88x = 9,086,700.35
  5. Step 5: Solve for x
    x = 9,086,700.35/2,912.88
  6. Step 6: Final answer
    x = 3,119.49

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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.