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Finding the Fourth Proportional to 2,645.86, 3,651.05 and 1,466.62

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Solution

The fourth proportional to 2,645.86, 3,651.05 and 1,466.62 is: 2,023.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,645.86 : 3,651.05 = 1,466.62 : x
  2. Step 2: Convert to fraction form
    2,645.86/3,651.05 = 1,466.62/x
  3. Step 3: Cross multiply
    2,645.86x = 3,651.05 × 1,466.62
  4. Step 4: Simplify right side
    2,645.86x = 5,354,702.95
  5. Step 5: Solve for x
    x = 5,354,702.95/2,645.86
  6. Step 6: Final answer
    x = 2,023.80

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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.