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Finding the Fourth Proportional to 1,719.88, 2,589.07 and 1,469.32

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Solution

The fourth proportional to 1,719.88, 2,589.07 and 1,469.32 is: 2,211.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,719.88 : 2,589.07 = 1,469.32 : x
  2. Step 2: Convert to fraction form
    1,719.88/2,589.07 = 1,469.32/x
  3. Step 3: Cross multiply
    1,719.88x = 2,589.07 × 1,469.32
  4. Step 4: Simplify right side
    1,719.88x = 3,804,172.33
  5. Step 5: Solve for x
    x = 3,804,172.33/1,719.88
  6. Step 6: Final answer
    x = 2,211.88

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.