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Finding the Fourth Proportional to 3,159.30, 4,738.35 and 850.98

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Solution

The fourth proportional to 3,159.30, 4,738.35 and 850.98 is: 1,276.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,159.30 : 4,738.35 = 850.98 : x
  2. Step 2: Convert to fraction form
    3,159.30/4,738.35 = 850.98/x
  3. Step 3: Cross multiply
    3,159.30x = 4,738.35 × 850.98
  4. Step 4: Simplify right side
    3,159.30x = 4,032,241.08
  5. Step 5: Solve for x
    x = 4,032,241.08/3,159.30
  6. Step 6: Final answer
    x = 1,276.31

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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.