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Finding the Fourth Proportional to 2,096.37, 2,893.40 and 1,388.24

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Solution

The fourth proportional to 2,096.37, 2,893.40 and 1,388.24 is: 1,916.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,096.37 : 2,893.40 = 1,388.24 : x
  2. Step 2: Convert to fraction form
    2,096.37/2,893.40 = 1,388.24/x
  3. Step 3: Cross multiply
    2,096.37x = 2,893.40 × 1,388.24
  4. Step 4: Simplify right side
    2,096.37x = 4,016,712.21
  5. Step 5: Solve for x
    x = 4,016,712.21/2,096.37
  6. Step 6: Final answer
    x = 1,916.03

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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.