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Finding the Fourth Proportional to 2,016.90, 2,775.74 and 1,706.25

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Solution

The fourth proportional to 2,016.90, 2,775.74 and 1,706.25 is: 2,348.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,016.90 : 2,775.74 = 1,706.25 : x
  2. Step 2: Convert to fraction form
    2,016.90/2,775.74 = 1,706.25/x
  3. Step 3: Cross multiply
    2,016.90x = 2,775.74 × 1,706.25
  4. Step 4: Simplify right side
    2,016.90x = 4,736,107.44
  5. Step 5: Solve for x
    x = 4,736,107.44/2,016.90
  6. Step 6: Final answer
    x = 2,348.21

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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.