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Finding the Fourth Proportional to 2,645.73, 3,650.96 and 1,466.73

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Solution

The fourth proportional to 2,645.73, 3,650.96 and 1,466.73 is: 2,024.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,645.73 : 3,650.96 = 1,466.73 : x
  2. Step 2: Convert to fraction form
    2,645.73/3,650.96 = 1,466.73/x
  3. Step 3: Cross multiply
    2,645.73x = 3,650.96 × 1,466.73
  4. Step 4: Simplify right side
    2,645.73x = 5,354,965.23
  5. Step 5: Solve for x
    x = 5,354,965.23/2,645.73
  6. Step 6: Final answer
    x = 2,024.00

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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.