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Finding the Fourth Proportional to 2,026.56, 2,797.43 and 1,365.30

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Solution

The fourth proportional to 2,026.56, 2,797.43 and 1,365.30 is: 1,884.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,026.56 : 2,797.43 = 1,365.30 : x
  2. Step 2: Convert to fraction form
    2,026.56/2,797.43 = 1,365.30/x
  3. Step 3: Cross multiply
    2,026.56x = 2,797.43 × 1,365.30
  4. Step 4: Simplify right side
    2,026.56x = 3,819,331.18
  5. Step 5: Solve for x
    x = 3,819,331.18/2,026.56
  6. Step 6: Final answer
    x = 1,884.64

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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.