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Finding the Fourth Proportional to 1,893.12, 2,611.89 and 1,106.61

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Solution

The fourth proportional to 1,893.12, 2,611.89 and 1,106.61 is: 1,526.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,893.12 : 2,611.89 = 1,106.61 : x
  2. Step 2: Convert to fraction form
    1,893.12/2,611.89 = 1,106.61/x
  3. Step 3: Cross multiply
    1,893.12x = 2,611.89 × 1,106.61
  4. Step 4: Simplify right side
    1,893.12x = 2,890,343.59
  5. Step 5: Solve for x
    x = 2,890,343.59/1,893.12
  6. Step 6: Final answer
    x = 1,526.76

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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.