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Finding the Fourth Proportional to 2,452.05, 3,672.68 and 1,899.90

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Solution

The fourth proportional to 2,452.05, 3,672.68 and 1,899.90 is: 2,845.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,452.05 : 3,672.68 = 1,899.90 : x
  2. Step 2: Convert to fraction form
    2,452.05/3,672.68 = 1,899.90/x
  3. Step 3: Cross multiply
    2,452.05x = 3,672.68 × 1,899.90
  4. Step 4: Simplify right side
    2,452.05x = 6,977,715.23
  5. Step 5: Solve for x
    x = 6,977,715.23/2,452.05
  6. Step 6: Final answer
    x = 2,845.67

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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.