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Finding the Fourth Proportional to 1,808.35, 2,711.02 and 769.15

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Solution

The fourth proportional to 1,808.35, 2,711.02 and 769.15 is: 1,153.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,808.35 : 2,711.02 = 769.15 : x
  2. Step 2: Convert to fraction form
    1,808.35/2,711.02 = 769.15/x
  3. Step 3: Cross multiply
    1,808.35x = 2,711.02 × 769.15
  4. Step 4: Simplify right side
    1,808.35x = 2,085,181.03
  5. Step 5: Solve for x
    x = 2,085,181.03/1,808.35
  6. Step 6: Final answer
    x = 1,153.08

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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.