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Finding the Fourth Proportional to 2,086.10, 3,128.40 and 852.86

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Solution

The fourth proportional to 2,086.10, 3,128.40 and 852.86 is: 1,278.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,086.10 : 3,128.40 = 852.86 : x
  2. Step 2: Convert to fraction form
    2,086.10/3,128.40 = 852.86/x
  3. Step 3: Cross multiply
    2,086.10x = 3,128.40 × 852.86
  4. Step 4: Simplify right side
    2,086.10x = 2,668,087.22
  5. Step 5: Solve for x
    x = 2,668,087.22/2,086.10
  6. Step 6: Final answer
    x = 1,278.98

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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.