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Finding the Fourth Proportional to 2,452.70, 3,675.71 and 1,354.34

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Solution

The fourth proportional to 2,452.70, 3,675.71 and 1,354.34 is: 2,029.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,452.70 : 3,675.71 = 1,354.34 : x
  2. Step 2: Convert to fraction form
    2,452.70/3,675.71 = 1,354.34/x
  3. Step 3: Cross multiply
    2,452.70x = 3,675.71 × 1,354.34
  4. Step 4: Simplify right side
    2,452.70x = 4,978,173.66
  5. Step 5: Solve for x
    x = 4,978,173.66/2,452.70
  6. Step 6: Final answer
    x = 2,029.67

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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.