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Finding the Fourth Proportional to 2,106.75, 2,907.75 and 1,398.65

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Solution

The fourth proportional to 2,106.75, 2,907.75 and 1,398.65 is: 1,930.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,106.75 : 2,907.75 = 1,398.65 : x
  2. Step 2: Convert to fraction form
    2,106.75/2,907.75 = 1,398.65/x
  3. Step 3: Cross multiply
    2,106.75x = 2,907.75 × 1,398.65
  4. Step 4: Simplify right side
    2,106.75x = 4,066,917.27
  5. Step 5: Solve for x
    x = 4,066,917.27/2,106.75
  6. Step 6: Final answer
    x = 1,930.43

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.