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Finding the Fourth Proportional to 2,817.93, 4,228.22 and 1,257.77

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Solution

The fourth proportional to 2,817.93, 4,228.22 and 1,257.77 is: 1,887.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,817.93 : 4,228.22 = 1,257.77 : x
  2. Step 2: Convert to fraction form
    2,817.93/4,228.22 = 1,257.77/x
  3. Step 3: Cross multiply
    2,817.93x = 4,228.22 × 1,257.77
  4. Step 4: Simplify right side
    2,817.93x = 5,318,128.27
  5. Step 5: Solve for x
    x = 5,318,128.27/2,817.93
  6. Step 6: Final answer
    x = 1,887.25

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.