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Finding the Fourth Proportional to 2,683.40, 3,705.36 and 2,019.12

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Solution

The fourth proportional to 2,683.40, 3,705.36 and 2,019.12 is: 2,788.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,683.40 : 3,705.36 = 2,019.12 : x
  2. Step 2: Convert to fraction form
    2,683.40/3,705.36 = 2,019.12/x
  3. Step 3: Cross multiply
    2,683.40x = 3,705.36 × 2,019.12
  4. Step 4: Simplify right side
    2,683.40x = 7,481,566.48
  5. Step 5: Solve for x
    x = 7,481,566.48/2,683.40
  6. Step 6: Final answer
    x = 2,788.09

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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.