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Finding the Fourth Proportional to 2,086.12, 3,130.33 and 854.39

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Solution

The fourth proportional to 2,086.12, 3,130.33 and 854.39 is: 1,282.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,086.12 : 3,130.33 = 854.39 : x
  2. Step 2: Convert to fraction form
    2,086.12/3,130.33 = 854.39/x
  3. Step 3: Cross multiply
    2,086.12x = 3,130.33 × 854.39
  4. Step 4: Simplify right side
    2,086.12x = 2,674,518.73
  5. Step 5: Solve for x
    x = 2,674,518.73/2,086.12
  6. Step 6: Final answer
    x = 1,282.06

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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.