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Finding the Fourth Proportional to 2,106.54, 3,157.79 and 1,926.09

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Solution

The fourth proportional to 2,106.54, 3,157.79 and 1,926.09 is: 2,887.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,106.54 : 3,157.79 = 1,926.09 : x
  2. Step 2: Convert to fraction form
    2,106.54/3,157.79 = 1,926.09/x
  3. Step 3: Cross multiply
    2,106.54x = 3,157.79 × 1,926.09
  4. Step 4: Simplify right side
    2,106.54x = 6,082,178.11
  5. Step 5: Solve for x
    x = 6,082,178.11/2,106.54
  6. Step 6: Final answer
    x = 2,887.28

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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.