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Finding the Fourth Proportional to 2,672.98, 4,019.22 and 2,459.14

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Solution

The fourth proportional to 2,672.98, 4,019.22 and 2,459.14 is: 3,697.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,672.98 : 4,019.22 = 2,459.14 : x
  2. Step 2: Convert to fraction form
    2,672.98/4,019.22 = 2,459.14/x
  3. Step 3: Cross multiply
    2,672.98x = 4,019.22 × 2,459.14
  4. Step 4: Simplify right side
    2,672.98x = 9,883,824.67
  5. Step 5: Solve for x
    x = 9,883,824.67/2,672.98
  6. Step 6: Final answer
    x = 3,697.68

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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.