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Finding the Fourth Proportional to 2,026.72, 2,796.96 and 1,328.80

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Solution

The fourth proportional to 2,026.72, 2,796.96 and 1,328.80 is: 1,833.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,026.72 : 2,796.96 = 1,328.80 : x
  2. Step 2: Convert to fraction form
    2,026.72/2,796.96 = 1,328.80/x
  3. Step 3: Cross multiply
    2,026.72x = 2,796.96 × 1,328.80
  4. Step 4: Simplify right side
    2,026.72x = 3,716,600.45
  5. Step 5: Solve for x
    x = 3,716,600.45/2,026.72
  6. Step 6: Final answer
    x = 1,833.80

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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.