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Finding the Fourth Proportional to 2,107.94, 2,908.05 and 1,321.84

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Solution

The fourth proportional to 2,107.94, 2,908.05 and 1,321.84 is: 1,823.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,107.94 : 2,908.05 = 1,321.84 : x
  2. Step 2: Convert to fraction form
    2,107.94/2,908.05 = 1,321.84/x
  3. Step 3: Cross multiply
    2,107.94x = 2,908.05 × 1,321.84
  4. Step 4: Simplify right side
    2,107.94x = 3,843,962.27
  5. Step 5: Solve for x
    x = 3,843,962.27/2,107.94
  6. Step 6: Final answer
    x = 1,823.56

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1.5x scale

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.