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Finding the Fourth Proportional to 2,014.94, 2,781.56 and 1,343.87

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Solution

The fourth proportional to 2,014.94, 2,781.56 and 1,343.87 is: 1,855.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,014.94 : 2,781.56 = 1,343.87 : x
  2. Step 2: Convert to fraction form
    2,014.94/2,781.56 = 1,343.87/x
  3. Step 3: Cross multiply
    2,014.94x = 2,781.56 × 1,343.87
  4. Step 4: Simplify right side
    2,014.94x = 3,738,046.62
  5. Step 5: Solve for x
    x = 3,738,046.62/2,014.94
  6. Step 6: Final answer
    x = 1,855.16

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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.