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Finding the Fourth Proportional to 1,864.37, 2,797.73 and 1,083.89

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Solution

The fourth proportional to 1,864.37, 2,797.73 and 1,083.89 is: 1,626.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,864.37 : 2,797.73 = 1,083.89 : x
  2. Step 2: Convert to fraction form
    1,864.37/2,797.73 = 1,083.89/x
  3. Step 3: Cross multiply
    1,864.37x = 2,797.73 × 1,083.89
  4. Step 4: Simplify right side
    1,864.37x = 3,032,431.57
  5. Step 5: Solve for x
    x = 3,032,431.57/1,864.37
  6. Step 6: Final answer
    x = 1,626.52

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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.