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Finding the Fourth Proportional to 2,109.75, 3,170.70 and 2,097.60

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Solution

The fourth proportional to 2,109.75, 3,170.70 and 2,097.60 is: 3,152.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,109.75 : 3,170.70 = 2,097.60 : x
  2. Step 2: Convert to fraction form
    2,109.75/3,170.70 = 2,097.60/x
  3. Step 3: Cross multiply
    2,109.75x = 3,170.70 × 2,097.60
  4. Step 4: Simplify right side
    2,109.75x = 6,650,860.32
  5. Step 5: Solve for x
    x = 6,650,860.32/2,109.75
  6. Step 6: Final answer
    x = 3,152.44

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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.