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Finding the Fourth Proportional to 2,106.63, 2,907.09 and 1,162.44

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Solution

The fourth proportional to 2,106.63, 2,907.09 and 1,162.44 is: 1,604.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,106.63 : 2,907.09 = 1,162.44 : x
  2. Step 2: Convert to fraction form
    2,106.63/2,907.09 = 1,162.44/x
  3. Step 3: Cross multiply
    2,106.63x = 2,907.09 × 1,162.44
  4. Step 4: Simplify right side
    2,106.63x = 3,379,317.70
  5. Step 5: Solve for x
    x = 3,379,317.70/2,106.63
  6. Step 6: Final answer
    x = 1,604.13

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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.