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Finding the Fourth Proportional to 1,689.62, 2,522.22 and 1,459.98

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Solution

The fourth proportional to 1,689.62, 2,522.22 and 1,459.98 is: 2,179.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,689.62 : 2,522.22 = 1,459.98 : x
  2. Step 2: Convert to fraction form
    1,689.62/2,522.22 = 1,459.98/x
  3. Step 3: Cross multiply
    1,689.62x = 2,522.22 × 1,459.98
  4. Step 4: Simplify right side
    1,689.62x = 3,682,390.76
  5. Step 5: Solve for x
    x = 3,682,390.76/1,689.62
  6. Step 6: Final answer
    x = 2,179.42

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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.