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Finding the Fourth Proportional to 2,106.82, 2,908.32 and 1,321.32

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Solution

The fourth proportional to 2,106.82, 2,908.32 and 1,321.32 is: 1,823.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,106.82 : 2,908.32 = 1,321.32 : x
  2. Step 2: Convert to fraction form
    2,106.82/2,908.32 = 1,321.32/x
  3. Step 3: Cross multiply
    2,106.82x = 2,908.32 × 1,321.32
  4. Step 4: Simplify right side
    2,106.82x = 3,842,821.38
  5. Step 5: Solve for x
    x = 3,842,821.38/2,106.82
  6. Step 6: Final answer
    x = 1,823.99

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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.