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Finding the Fourth Proportional to 2,108.36, 2,911.74 and 1,322.84

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Solution

The fourth proportional to 2,108.36, 2,911.74 and 1,322.84 is: 1,826.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,108.36 : 2,911.74 = 1,322.84 : x
  2. Step 2: Convert to fraction form
    2,108.36/2,911.74 = 1,322.84/x
  3. Step 3: Cross multiply
    2,108.36x = 2,911.74 × 1,322.84
  4. Step 4: Simplify right side
    2,108.36x = 3,851,766.14
  5. Step 5: Solve for x
    x = 3,851,766.14/2,108.36
  6. Step 6: Final answer
    x = 1,826.90

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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.