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Finding the Fourth Proportional to 2,106.98, 3,174.16 and 1,926.56

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Solution

The fourth proportional to 2,106.98, 3,174.16 and 1,926.56 is: 2,902.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,106.98 : 3,174.16 = 1,926.56 : x
  2. Step 2: Convert to fraction form
    2,106.98/3,174.16 = 1,926.56/x
  3. Step 3: Cross multiply
    2,106.98x = 3,174.16 × 1,926.56
  4. Step 4: Simplify right side
    2,106.98x = 6,115,209.69
  5. Step 5: Solve for x
    x = 6,115,209.69/2,106.98
  6. Step 6: Final answer
    x = 2,902.36

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.