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Finding the Fourth Proportional to 2,106.95, 2,907.43 and 1,222.56

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Solution

The fourth proportional to 2,106.95, 2,907.43 and 1,222.56 is: 1,687.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,106.95 : 2,907.43 = 1,222.56 : x
  2. Step 2: Convert to fraction form
    2,106.95/2,907.43 = 1,222.56/x
  3. Step 3: Cross multiply
    2,106.95x = 2,907.43 × 1,222.56
  4. Step 4: Simplify right side
    2,106.95x = 3,554,504.56
  5. Step 5: Solve for x
    x = 3,554,504.56/2,106.95
  6. Step 6: Final answer
    x = 1,687.04

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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.