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Finding the Fourth Proportional to 1,631.94, 2,445.27 and 850.78

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Solution

The fourth proportional to 1,631.94, 2,445.27 and 850.78 is: 1,274.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,631.94 : 2,445.27 = 850.78 : x
  2. Step 2: Convert to fraction form
    1,631.94/2,445.27 = 850.78/x
  3. Step 3: Cross multiply
    1,631.94x = 2,445.27 × 850.78
  4. Step 4: Simplify right side
    1,631.94x = 2,080,386.81
  5. Step 5: Solve for x
    x = 2,080,386.81/1,631.94
  6. Step 6: Final answer
    x = 1,274.79

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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.