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Finding the Fourth Proportional to 2,468.95, 3,682.60 and 2,099.59

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Solution

The fourth proportional to 2,468.95, 3,682.60 and 2,099.59 is: 3,131.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,468.95 : 3,682.60 = 2,099.59 : x
  2. Step 2: Convert to fraction form
    2,468.95/3,682.60 = 2,099.59/x
  3. Step 3: Cross multiply
    2,468.95x = 3,682.60 × 2,099.59
  4. Step 4: Simplify right side
    2,468.95x = 7,731,935.68
  5. Step 5: Solve for x
    x = 7,731,935.68/2,468.95
  6. Step 6: Final answer
    x = 3,131.67

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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.