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Finding the Fourth Proportional to 2,017.22, 2,784.89 and 1,544.21

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Solution

The fourth proportional to 2,017.22, 2,784.89 and 1,544.21 is: 2,131.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,017.22 : 2,784.89 = 1,544.21 : x
  2. Step 2: Convert to fraction form
    2,017.22/2,784.89 = 1,544.21/x
  3. Step 3: Cross multiply
    2,017.22x = 2,784.89 × 1,544.21
  4. Step 4: Simplify right side
    2,017.22x = 4,300,447.27
  5. Step 5: Solve for x
    x = 4,300,447.27/2,017.22
  6. Step 6: Final answer
    x = 2,131.87

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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.