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Finding the Fourth Proportional to 2,106.60, 3,158.28 and 809.16

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Solution

The fourth proportional to 2,106.60, 3,158.28 and 809.16 is: 1,213.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,106.60 : 3,158.28 = 809.16 : x
  2. Step 2: Convert to fraction form
    2,106.60/3,158.28 = 809.16/x
  3. Step 3: Cross multiply
    2,106.60x = 3,158.28 × 809.16
  4. Step 4: Simplify right side
    2,106.60x = 2,555,553.84
  5. Step 5: Solve for x
    x = 2,555,553.84/2,106.60
  6. Step 6: Final answer
    x = 1,213.12

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