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Finding the Fourth Proportional to 2,214, 3,305.04 and 1,907.04

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Solution

The fourth proportional to 2,214, 3,305.04 and 1,907.04 is: 2,846.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,214 : 3,305.04 = 1,907.04 : x
  2. Step 2: Convert to fraction form
    2,214/3,305.04 = 1,907.04/x
  3. Step 3: Cross multiply
    2,214x = 3,305.04 × 1,907.04
  4. Step 4: Simplify right side
    2,214x = 6,302,843.48
  5. Step 5: Solve for x
    x = 6,302,843.48/2,214
  6. Step 6: Final answer
    x = 2,846.81

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.