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Finding the Fourth Proportional to 1,228.46, 1,846.94 and 986.67

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Solution

The fourth proportional to 1,228.46, 1,846.94 and 986.67 is: 1,483.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,228.46 : 1,846.94 = 986.67 : x
  2. Step 2: Convert to fraction form
    1,228.46/1,846.94 = 986.67/x
  3. Step 3: Cross multiply
    1,228.46x = 1,846.94 × 986.67
  4. Step 4: Simplify right side
    1,228.46x = 1,822,315.36
  5. Step 5: Solve for x
    x = 1,822,315.36/1,228.46
  6. Step 6: Final answer
    x = 1,483.42

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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.