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Finding the Fourth Proportional to 3,158.76, 4,738.18 and 850.26

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Solution

The fourth proportional to 3,158.76, 4,738.18 and 850.26 is: 1,275.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,158.76 : 4,738.18 = 850.26 : x
  2. Step 2: Convert to fraction form
    3,158.76/4,738.18 = 850.26/x
  3. Step 3: Cross multiply
    3,158.76x = 4,738.18 × 850.26
  4. Step 4: Simplify right side
    3,158.76x = 4,028,684.93
  5. Step 5: Solve for x
    x = 4,028,684.93/3,158.76
  6. Step 6: Final answer
    x = 1,275.40

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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.