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Finding the Fourth Proportional to 2,459.09, 3,687.63 and 997.85

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Solution

The fourth proportional to 2,459.09, 3,687.63 and 997.85 is: 1,496.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,459.09 : 3,687.63 = 997.85 : x
  2. Step 2: Convert to fraction form
    2,459.09/3,687.63 = 997.85/x
  3. Step 3: Cross multiply
    2,459.09x = 3,687.63 × 997.85
  4. Step 4: Simplify right side
    2,459.09x = 3,679,707.07
  5. Step 5: Solve for x
    x = 3,679,707.07/2,459.09
  6. Step 6: Final answer
    x = 1,496.37

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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.