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Finding the Fourth Proportional to 2,107.08, 2,908.38 and 1,223.08

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Solution

The fourth proportional to 2,107.08, 2,908.38 and 1,223.08 is: 1,688.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,107.08 : 2,908.38 = 1,223.08 : x
  2. Step 2: Convert to fraction form
    2,107.08/2,908.38 = 1,223.08/x
  3. Step 3: Cross multiply
    2,107.08x = 2,908.38 × 1,223.08
  4. Step 4: Simplify right side
    2,107.08x = 3,557,181.41
  5. Step 5: Solve for x
    x = 3,557,181.41/2,107.08
  6. Step 6: Final answer
    x = 1,688.20

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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.