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Finding the Fourth Proportional to 2,406.84, 3,611.22 and 1,108.92

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Solution

The fourth proportional to 2,406.84, 3,611.22 and 1,108.92 is: 1,663.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,406.84 : 3,611.22 = 1,108.92 : x
  2. Step 2: Convert to fraction form
    2,406.84/3,611.22 = 1,108.92/x
  3. Step 3: Cross multiply
    2,406.84x = 3,611.22 × 1,108.92
  4. Step 4: Simplify right side
    2,406.84x = 4,004,554.08
  5. Step 5: Solve for x
    x = 4,004,554.08/2,406.84
  6. Step 6: Final answer
    x = 1,663.82

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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.