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Finding the Fourth Proportional to 2,107.75, 2,908.70 and 1,176.25

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Solution

The fourth proportional to 2,107.75, 2,908.70 and 1,176.25 is: 1,623.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,107.75 : 2,908.70 = 1,176.25 : x
  2. Step 2: Convert to fraction form
    2,107.75/2,908.70 = 1,176.25/x
  3. Step 3: Cross multiply
    2,107.75x = 2,908.70 × 1,176.25
  4. Step 4: Simplify right side
    2,107.75x = 3,421,358.38
  5. Step 5: Solve for x
    x = 3,421,358.38/2,107.75
  6. Step 6: Final answer
    x = 1,623.23

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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.