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Finding the Fourth Proportional to 2,106.91, 2,907.52 and 1,222.93

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Solution

The fourth proportional to 2,106.91, 2,907.52 and 1,222.93 is: 1,687.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,106.91 : 2,907.52 = 1,222.93 : x
  2. Step 2: Convert to fraction form
    2,106.91/2,907.52 = 1,222.93/x
  3. Step 3: Cross multiply
    2,106.91x = 2,907.52 × 1,222.93
  4. Step 4: Simplify right side
    2,106.91x = 3,555,693.43
  5. Step 5: Solve for x
    x = 3,555,693.43/2,106.91
  6. Step 6: Final answer
    x = 1,687.63

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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.