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Finding the Fourth Proportional to 2,087.52, 3,131.19 and 854.58

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Solution

The fourth proportional to 2,087.52, 3,131.19 and 854.58 is: 1,281.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,087.52 : 3,131.19 = 854.58 : x
  2. Step 2: Convert to fraction form
    2,087.52/3,131.19 = 854.58/x
  3. Step 3: Cross multiply
    2,087.52x = 3,131.19 × 854.58
  4. Step 4: Simplify right side
    2,087.52x = 2,675,852.35
  5. Step 5: Solve for x
    x = 2,675,852.35/2,087.52
  6. Step 6: Final answer
    x = 1,281.83

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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.