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Finding the Fourth Proportional to 3,159.16, 4,738.86 and 850.84

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Solution

The fourth proportional to 3,159.16, 4,738.86 and 850.84 is: 1,276.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,159.16 : 4,738.86 = 850.84 : x
  2. Step 2: Convert to fraction form
    3,159.16/4,738.86 = 850.84/x
  3. Step 3: Cross multiply
    3,159.16x = 4,738.86 × 850.84
  4. Step 4: Simplify right side
    3,159.16x = 4,032,011.64
  5. Step 5: Solve for x
    x = 4,032,011.64/3,159.16
  6. Step 6: Final answer
    x = 1,276.29

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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.