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Finding the Fourth Proportional to 2,215.76, 3,054.44 and 1,822.12

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Solution

The fourth proportional to 2,215.76, 3,054.44 and 1,822.12 is: 2,511.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,215.76 : 3,054.44 = 1,822.12 : x
  2. Step 2: Convert to fraction form
    2,215.76/3,054.44 = 1,822.12/x
  3. Step 3: Cross multiply
    2,215.76x = 3,054.44 × 1,822.12
  4. Step 4: Simplify right side
    2,215.76x = 5,565,556.21
  5. Step 5: Solve for x
    x = 5,565,556.21/2,215.76
  6. Step 6: Final answer
    x = 2,511.80

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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.