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Finding the Fourth Proportional to 2,725.94, 4,089 and 2,113.58

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Solution

The fourth proportional to 2,725.94, 4,089 and 2,113.58 is: 3,170.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,725.94 : 4,089 = 2,113.58 : x
  2. Step 2: Convert to fraction form
    2,725.94/4,089 = 2,113.58/x
  3. Step 3: Cross multiply
    2,725.94x = 4,089 × 2,113.58
  4. Step 4: Simplify right side
    2,725.94x = 8,642,428.62
  5. Step 5: Solve for x
    x = 8,642,428.62/2,725.94
  6. Step 6: Final answer
    x = 3,170.44

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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.