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Finding the Fourth Proportional to 2,086.56, 3,126.60 and 852.93

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Solution

The fourth proportional to 2,086.56, 3,126.60 and 852.93 is: 1,278.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,086.56 : 3,126.60 = 852.93 : x
  2. Step 2: Convert to fraction form
    2,086.56/3,126.60 = 852.93/x
  3. Step 3: Cross multiply
    2,086.56x = 3,126.60 × 852.93
  4. Step 4: Simplify right side
    2,086.56x = 2,666,770.94
  5. Step 5: Solve for x
    x = 2,666,770.94/2,086.56
  6. Step 6: Final answer
    x = 1,278.07

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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.