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Finding the Fourth Proportional to 3,206.84, 4,808.46 and 1,126.27

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Solution

The fourth proportional to 3,206.84, 4,808.46 and 1,126.27 is: 1,688.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,206.84 : 4,808.46 = 1,126.27 : x
  2. Step 2: Convert to fraction form
    3,206.84/4,808.46 = 1,126.27/x
  3. Step 3: Cross multiply
    3,206.84x = 4,808.46 × 1,126.27
  4. Step 4: Simplify right side
    3,206.84x = 5,415,600.20
  5. Step 5: Solve for x
    x = 5,415,600.20/3,206.84
  6. Step 6: Final answer
    x = 1,688.77

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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.