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Finding the Fourth Proportional to 1,741.44, 2,402.88 and 1,276.80

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Solution

The fourth proportional to 1,741.44, 2,402.88 and 1,276.80 is: 1,761.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,741.44 : 2,402.88 = 1,276.80 : x
  2. Step 2: Convert to fraction form
    1,741.44/2,402.88 = 1,276.80/x
  3. Step 3: Cross multiply
    1,741.44x = 2,402.88 × 1,276.80
  4. Step 4: Simplify right side
    1,741.44x = 3,067,997.18
  5. Step 5: Solve for x
    x = 3,067,997.18/1,741.44
  6. Step 6: Final answer
    x = 1,761.76

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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.