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Finding the Fourth Proportional to 2,459.29, 3,689.75 and 998.05

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Solution

The fourth proportional to 2,459.29, 3,689.75 and 998.05 is: 1,497.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,459.29 : 3,689.75 = 998.05 : x
  2. Step 2: Convert to fraction form
    2,459.29/3,689.75 = 998.05/x
  3. Step 3: Cross multiply
    2,459.29x = 3,689.75 × 998.05
  4. Step 4: Simplify right side
    2,459.29x = 3,682,554.99
  5. Step 5: Solve for x
    x = 3,682,554.99/2,459.29
  6. Step 6: Final answer
    x = 1,497.41

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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.