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Finding the Fourth Proportional to 2,645.37, 3,650.49 and 1,466.42

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Solution

The fourth proportional to 2,645.37, 3,650.49 and 1,466.42 is: 2,023.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,645.37 : 3,650.49 = 1,466.42 : x
  2. Step 2: Convert to fraction form
    2,645.37/3,650.49 = 1,466.42/x
  3. Step 3: Cross multiply
    2,645.37x = 3,650.49 × 1,466.42
  4. Step 4: Simplify right side
    2,645.37x = 5,353,133.29
  5. Step 5: Solve for x
    x = 5,353,133.29/2,645.37
  6. Step 6: Final answer
    x = 2,023.59

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.