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Finding the Fourth Proportional to 2,772.85, 3,827.15 and 1,889

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Solution

The fourth proportional to 2,772.85, 3,827.15 and 1,889 is: 2,607.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,772.85 : 3,827.15 = 1,889 : x
  2. Step 2: Convert to fraction form
    2,772.85/3,827.15 = 1,889/x
  3. Step 3: Cross multiply
    2,772.85x = 3,827.15 × 1,889
  4. Step 4: Simplify right side
    2,772.85x = 7,229,486.35
  5. Step 5: Solve for x
    x = 7,229,486.35/2,772.85
  6. Step 6: Final answer
    x = 2,607.24

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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.