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Finding the Fourth Proportional to 1,893.76, 2,844.96 and 1,816

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Solution

The fourth proportional to 1,893.76, 2,844.96 and 1,816 is: 2,728.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,893.76 : 2,844.96 = 1,816 : x
  2. Step 2: Convert to fraction form
    1,893.76/2,844.96 = 1,816/x
  3. Step 3: Cross multiply
    1,893.76x = 2,844.96 × 1,816
  4. Step 4: Simplify right side
    1,893.76x = 5,166,447.36
  5. Step 5: Solve for x
    x = 5,166,447.36/1,893.76
  6. Step 6: Final answer
    x = 2,728.14

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.