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Finding the Fourth Proportional to 2,084.56, 3,123.75 and 850.48

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Solution

The fourth proportional to 2,084.56, 3,123.75 and 850.48 is: 1,274.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,084.56 : 3,123.75 = 850.48 : x
  2. Step 2: Convert to fraction form
    2,084.56/3,123.75 = 850.48/x
  3. Step 3: Cross multiply
    2,084.56x = 3,123.75 × 850.48
  4. Step 4: Simplify right side
    2,084.56x = 2,656,686.90
  5. Step 5: Solve for x
    x = 2,656,686.90/2,084.56
  6. Step 6: Final answer
    x = 1,274.46

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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.