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Finding the Fourth Proportional to 2,019.96, 2,788.26 and 1,706.89

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Solution

The fourth proportional to 2,019.96, 2,788.26 and 1,706.89 is: 2,356.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,019.96 : 2,788.26 = 1,706.89 : x
  2. Step 2: Convert to fraction form
    2,019.96/2,788.26 = 1,706.89/x
  3. Step 3: Cross multiply
    2,019.96x = 2,788.26 × 1,706.89
  4. Step 4: Simplify right side
    2,019.96x = 4,759,241.87
  5. Step 5: Solve for x
    x = 4,759,241.87/2,019.96
  6. Step 6: Final answer
    x = 2,356.11

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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.