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Finding the Fourth Proportional to 2,645.61, 3,650.99 and 1,466.73

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Solution

The fourth proportional to 2,645.61, 3,650.99 and 1,466.73 is: 2,024.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,645.61 : 3,650.99 = 1,466.73 : x
  2. Step 2: Convert to fraction form
    2,645.61/3,650.99 = 1,466.73/x
  3. Step 3: Cross multiply
    2,645.61x = 3,650.99 × 1,466.73
  4. Step 4: Simplify right side
    2,645.61x = 5,355,009.23
  5. Step 5: Solve for x
    x = 5,355,009.23/2,645.61
  6. Step 6: Final answer
    x = 2,024.11

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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.