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Finding the Fourth Proportional to 1,608.89, 2,216.80 and 1,084.01

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Solution

The fourth proportional to 1,608.89, 2,216.80 and 1,084.01 is: 1,493.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,608.89 : 2,216.80 = 1,084.01 : x
  2. Step 2: Convert to fraction form
    1,608.89/2,216.80 = 1,084.01/x
  3. Step 3: Cross multiply
    1,608.89x = 2,216.80 × 1,084.01
  4. Step 4: Simplify right side
    1,608.89x = 2,403,033.37
  5. Step 5: Solve for x
    x = 2,403,033.37/1,608.89
  6. Step 6: Final answer
    x = 1,493.60

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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.