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Finding the Fourth Proportional to 2,087.06, 3,128.97 and 854.78

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Solution

The fourth proportional to 2,087.06, 3,128.97 and 854.78 is: 1,281.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,087.06 : 3,128.97 = 854.78 : x
  2. Step 2: Convert to fraction form
    2,087.06/3,128.97 = 854.78/x
  3. Step 3: Cross multiply
    2,087.06x = 3,128.97 × 854.78
  4. Step 4: Simplify right side
    2,087.06x = 2,674,580.98
  5. Step 5: Solve for x
    x = 2,674,580.98/2,087.06
  6. Step 6: Final answer
    x = 1,281.51

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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.