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Finding the Fourth Proportional to 2,077.75, 3,116.63 and 845.83

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Solution

The fourth proportional to 2,077.75, 3,116.63 and 845.83 is: 1,268.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,077.75 : 3,116.63 = 845.83 : x
  2. Step 2: Convert to fraction form
    2,077.75/3,116.63 = 845.83/x
  3. Step 3: Cross multiply
    2,077.75x = 3,116.63 × 845.83
  4. Step 4: Simplify right side
    2,077.75x = 2,636,134.92
  5. Step 5: Solve for x
    x = 2,636,134.92/2,077.75
  6. Step 6: Final answer
    x = 1,268.75

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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.