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Finding the Fourth Proportional to 2,645.60, 3,650.67 and 1,466.65

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Solution

The fourth proportional to 2,645.60, 3,650.67 and 1,466.65 is: 2,023.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,645.60 : 3,650.67 = 1,466.65 : x
  2. Step 2: Convert to fraction form
    2,645.60/3,650.67 = 1,466.65/x
  3. Step 3: Cross multiply
    2,645.60x = 3,650.67 × 1,466.65
  4. Step 4: Simplify right side
    2,645.60x = 5,354,236.90
  5. Step 5: Solve for x
    x = 5,354,236.90/2,645.60
  6. Step 6: Final answer
    x = 2,023.83

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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.