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Finding the Fourth Proportional to 2,646.72, 3,649.32 and 2,273.04

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Solution

The fourth proportional to 2,646.72, 3,649.32 and 2,273.04 is: 3,134.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,646.72 : 3,649.32 = 2,273.04 : x
  2. Step 2: Convert to fraction form
    2,646.72/3,649.32 = 2,273.04/x
  3. Step 3: Cross multiply
    2,646.72x = 3,649.32 × 2,273.04
  4. Step 4: Simplify right side
    2,646.72x = 8,295,050.33
  5. Step 5: Solve for x
    x = 8,295,050.33/2,646.72
  6. Step 6: Final answer
    x = 3,134.09

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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.