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Finding the Fourth Proportional to 2,017.75, 2,784.50 and 1,189.75

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Solution

The fourth proportional to 2,017.75, 2,784.50 and 1,189.75 is: 1,641.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,017.75 : 2,784.50 = 1,189.75 : x
  2. Step 2: Convert to fraction form
    2,017.75/2,784.50 = 1,189.75/x
  3. Step 3: Cross multiply
    2,017.75x = 2,784.50 × 1,189.75
  4. Step 4: Simplify right side
    2,017.75x = 3,312,858.88
  5. Step 5: Solve for x
    x = 3,312,858.88/2,017.75
  6. Step 6: Final answer
    x = 1,641.86

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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.