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Finding the Fourth Proportional to 2,096.63, 2,872.40 and 2,017.82

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Solution

The fourth proportional to 2,096.63, 2,872.40 and 2,017.82 is: 2,764.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,096.63 : 2,872.40 = 2,017.82 : x
  2. Step 2: Convert to fraction form
    2,096.63/2,872.40 = 2,017.82/x
  3. Step 3: Cross multiply
    2,096.63x = 2,872.40 × 2,017.82
  4. Step 4: Simplify right side
    2,096.63x = 5,795,986.17
  5. Step 5: Solve for x
    x = 5,795,986.17/2,096.63
  6. Step 6: Final answer
    x = 2,764.44

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These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.