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Finding the Fourth Proportional to 2,106.01, 3,157.18 and 806.57

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Solution

The fourth proportional to 2,106.01, 3,157.18 and 806.57 is: 1,209.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,106.01 : 3,157.18 = 806.57 : x
  2. Step 2: Convert to fraction form
    2,106.01/3,157.18 = 806.57/x
  3. Step 3: Cross multiply
    2,106.01x = 3,157.18 × 806.57
  4. Step 4: Simplify right side
    2,106.01x = 2,546,486.67
  5. Step 5: Solve for x
    x = 2,546,486.67/2,106.01
  6. Step 6: Final answer
    x = 1,209.15

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.