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Finding the Fourth Proportional to 1,892.45, 2,611.18 and 1,106.34

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Solution

The fourth proportional to 1,892.45, 2,611.18 and 1,106.34 is: 1,526.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,892.45 : 2,611.18 = 1,106.34 : x
  2. Step 2: Convert to fraction form
    1,892.45/2,611.18 = 1,106.34/x
  3. Step 3: Cross multiply
    1,892.45x = 2,611.18 × 1,106.34
  4. Step 4: Simplify right side
    1,892.45x = 2,888,847.35
  5. Step 5: Solve for x
    x = 2,888,847.35/1,892.45
  6. Step 6: Final answer
    x = 1,526.52

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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.