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Finding the Fourth Proportional to 2,026.64, 2,796.19 and 1,281.56

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Solution

The fourth proportional to 2,026.64, 2,796.19 and 1,281.56 is: 1,768.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,026.64 : 2,796.19 = 1,281.56 : x
  2. Step 2: Convert to fraction form
    2,026.64/2,796.19 = 1,281.56/x
  3. Step 3: Cross multiply
    2,026.64x = 2,796.19 × 1,281.56
  4. Step 4: Simplify right side
    2,026.64x = 3,583,468.07
  5. Step 5: Solve for x
    x = 3,583,468.07/2,026.64
  6. Step 6: Final answer
    x = 1,768.18

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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.