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Finding the Fourth Proportional to 2,111.68, 2,914.08 and 1,167.44

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Solution

The fourth proportional to 2,111.68, 2,914.08 and 1,167.44 is: 1,611.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,111.68 : 2,914.08 = 1,167.44 : x
  2. Step 2: Convert to fraction form
    2,111.68/2,914.08 = 1,167.44/x
  3. Step 3: Cross multiply
    2,111.68x = 2,914.08 × 1,167.44
  4. Step 4: Simplify right side
    2,111.68x = 3,402,013.56
  5. Step 5: Solve for x
    x = 3,402,013.56/2,111.68
  6. Step 6: Final answer
    x = 1,611.05

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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.