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Finding the Fourth Proportional to 2,005.84, 2,773.44 and 1,759.84

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Solution

The fourth proportional to 2,005.84, 2,773.44 and 1,759.84 is: 2,433.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,005.84 : 2,773.44 = 1,759.84 : x
  2. Step 2: Convert to fraction form
    2,005.84/2,773.44 = 1,759.84/x
  3. Step 3: Cross multiply
    2,005.84x = 2,773.44 × 1,759.84
  4. Step 4: Simplify right side
    2,005.84x = 4,880,810.65
  5. Step 5: Solve for x
    x = 4,880,810.65/2,005.84
  6. Step 6: Final answer
    x = 2,433.30

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.