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Finding the Fourth Proportional to 2,645.72, 3,650.79 and 1,466.77

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Solution

The fourth proportional to 2,645.72, 3,650.79 and 1,466.77 is: 2,023.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,645.72 : 3,650.79 = 1,466.77 : x
  2. Step 2: Convert to fraction form
    2,645.72/3,650.79 = 1,466.77/x
  3. Step 3: Cross multiply
    2,645.72x = 3,650.79 × 1,466.77
  4. Step 4: Simplify right side
    2,645.72x = 5,354,869.25
  5. Step 5: Solve for x
    x = 5,354,869.25/2,645.72
  6. Step 6: Final answer
    x = 2,023.97

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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.