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Finding the Fourth Proportional to 1,378.92, 1,900.68 and 1,083.64

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Solution

The fourth proportional to 1,378.92, 1,900.68 and 1,083.64 is: 1,493.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,378.92 : 1,900.68 = 1,083.64 : x
  2. Step 2: Convert to fraction form
    1,378.92/1,900.68 = 1,083.64/x
  3. Step 3: Cross multiply
    1,378.92x = 1,900.68 × 1,083.64
  4. Step 4: Simplify right side
    1,378.92x = 2,059,652.88
  5. Step 5: Solve for x
    x = 2,059,652.88/1,378.92
  6. Step 6: Final answer
    x = 1,493.67

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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.