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Finding the Fourth Proportional to 2,026.54, 2,796.83 and 1,364.77

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Solution

The fourth proportional to 2,026.54, 2,796.83 and 1,364.77 is: 1,883.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,026.54 : 2,796.83 = 1,364.77 : x
  2. Step 2: Convert to fraction form
    2,026.54/2,796.83 = 1,364.77/x
  3. Step 3: Cross multiply
    2,026.54x = 2,796.83 × 1,364.77
  4. Step 4: Simplify right side
    2,026.54x = 3,817,029.68
  5. Step 5: Solve for x
    x = 3,817,029.68/2,026.54
  6. Step 6: Final answer
    x = 1,883.52

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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.