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Finding the Fourth Proportional to 2,106.81, 2,907.80 and 1,222.59

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Solution

The fourth proportional to 2,106.81, 2,907.80 and 1,222.59 is: 1,687.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,106.81 : 2,907.80 = 1,222.59 : x
  2. Step 2: Convert to fraction form
    2,106.81/2,907.80 = 1,222.59/x
  3. Step 3: Cross multiply
    2,106.81x = 2,907.80 × 1,222.59
  4. Step 4: Simplify right side
    2,106.81x = 3,555,056.58
  5. Step 5: Solve for x
    x = 3,555,056.58/2,106.81
  6. Step 6: Final answer
    x = 1,687.41

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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.