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Finding the Fourth Proportional to 2,106.70, 2,907.77 and 1,222.38

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Solution

The fourth proportional to 2,106.70, 2,907.77 and 1,222.38 is: 1,687.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,106.70 : 2,907.77 = 1,222.38 : x
  2. Step 2: Convert to fraction form
    2,106.70/2,907.77 = 1,222.38/x
  3. Step 3: Cross multiply
    2,106.70x = 2,907.77 × 1,222.38
  4. Step 4: Simplify right side
    2,106.70x = 3,554,393.78
  5. Step 5: Solve for x
    x = 3,554,393.78/2,106.70
  6. Step 6: Final answer
    x = 1,687.19

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Why These Related Problems?

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