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Finding the Fourth Proportional to 2,087.58, 3,112.68 and 2,050.68

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Solution

The fourth proportional to 2,087.58, 3,112.68 and 2,050.68 is: 3,057.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,087.58 : 3,112.68 = 2,050.68 : x
  2. Step 2: Convert to fraction form
    2,087.58/3,112.68 = 2,050.68/x
  3. Step 3: Cross multiply
    2,087.58x = 3,112.68 × 2,050.68
  4. Step 4: Simplify right side
    2,087.58x = 6,383,110.62
  5. Step 5: Solve for x
    x = 6,383,110.62/2,087.58
  6. Step 6: Final answer
    x = 3,057.66

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.