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Finding the Fourth Proportional to 1,388.21, 1,913.94 and 1,166.67

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Solution

The fourth proportional to 1,388.21, 1,913.94 and 1,166.67 is: 1,608.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,388.21 : 1,913.94 = 1,166.67 : x
  2. Step 2: Convert to fraction form
    1,388.21/1,913.94 = 1,166.67/x
  3. Step 3: Cross multiply
    1,388.21x = 1,913.94 × 1,166.67
  4. Step 4: Simplify right side
    1,388.21x = 2,232,936.38
  5. Step 5: Solve for x
    x = 2,232,936.38/1,388.21
  6. Step 6: Final answer
    x = 1,608.51

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.