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Finding the Fourth Proportional to 2,111.56, 2,914.04 and 1,167.40

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Solution

The fourth proportional to 2,111.56, 2,914.04 and 1,167.40 is: 1,611.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,111.56 : 2,914.04 = 1,167.40 : x
  2. Step 2: Convert to fraction form
    2,111.56/2,914.04 = 1,167.40/x
  3. Step 3: Cross multiply
    2,111.56x = 2,914.04 × 1,167.40
  4. Step 4: Simplify right side
    2,111.56x = 3,401,850.30
  5. Step 5: Solve for x
    x = 3,401,850.30/2,111.56
  6. Step 6: Final answer
    x = 1,611.06

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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.