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Finding the Fourth Proportional to 2,772.16, 3,823.77 and 1,919.94

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Solution

The fourth proportional to 2,772.16, 3,823.77 and 1,919.94 is: 2,648.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,772.16 : 3,823.77 = 1,919.94 : x
  2. Step 2: Convert to fraction form
    2,772.16/3,823.77 = 1,919.94/x
  3. Step 3: Cross multiply
    2,772.16x = 3,823.77 × 1,919.94
  4. Step 4: Simplify right side
    2,772.16x = 7,341,401.83
  5. Step 5: Solve for x
    x = 7,341,401.83/2,772.16
  6. Step 6: Final answer
    x = 2,648.26

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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.