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Finding the Fourth Proportional to 3,017.75, 4,165.94 and 1,899.23

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Solution

The fourth proportional to 3,017.75, 4,165.94 and 1,899.23 is: 2,621.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,017.75 : 4,165.94 = 1,899.23 : x
  2. Step 2: Convert to fraction form
    3,017.75/4,165.94 = 1,899.23/x
  3. Step 3: Cross multiply
    3,017.75x = 4,165.94 × 1,899.23
  4. Step 4: Simplify right side
    3,017.75x = 7,912,062.14
  5. Step 5: Solve for x
    x = 7,912,062.14/3,017.75
  6. Step 6: Final answer
    x = 2,621.85

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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.