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Finding the Fourth Proportional to 2,083.77, 3,107.34 and 1,770.30

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Solution

The fourth proportional to 2,083.77, 3,107.34 and 1,770.30 is: 2,639.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,083.77 : 3,107.34 = 1,770.30 : x
  2. Step 2: Convert to fraction form
    2,083.77/3,107.34 = 1,770.30/x
  3. Step 3: Cross multiply
    2,083.77x = 3,107.34 × 1,770.30
  4. Step 4: Simplify right side
    2,083.77x = 5,500,924.00
  5. Step 5: Solve for x
    x = 5,500,924.00/2,083.77
  6. Step 6: Final answer
    x = 2,639.89

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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.