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Finding the Fourth Proportional to 2,017.96, 2,783.80 and 1,428.80

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Solution

The fourth proportional to 2,017.96, 2,783.80 and 1,428.80 is: 1,971.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,017.96 : 2,783.80 = 1,428.80 : x
  2. Step 2: Convert to fraction form
    2,017.96/2,783.80 = 1,428.80/x
  3. Step 3: Cross multiply
    2,017.96x = 2,783.80 × 1,428.80
  4. Step 4: Simplify right side
    2,017.96x = 3,977,493.44
  5. Step 5: Solve for x
    x = 3,977,493.44/2,017.96
  6. Step 6: Final answer
    x = 1,971.05

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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.