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Finding the Fourth Proportional to 2,109.38, 3,164.00 and 2,106.34

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Solution

The fourth proportional to 2,109.38, 3,164.00 and 2,106.34 is: 3,159.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,109.38 : 3,164.00 = 2,106.34 : x
  2. Step 2: Convert to fraction form
    2,109.38/3,164.00 = 2,106.34/x
  3. Step 3: Cross multiply
    2,109.38x = 3,164.00 × 2,106.34
  4. Step 4: Simplify right side
    2,109.38x = 6,664,441.32
  5. Step 5: Solve for x
    x = 6,664,441.32/2,109.38
  6. Step 6: Final answer
    x = 3,159.44

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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.