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Finding the Fourth Proportional to 3,418.80, 5,128.74 and 1,228.32

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Solution

The fourth proportional to 3,418.80, 5,128.74 and 1,228.32 is: 1,842.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,418.80 : 5,128.74 = 1,228.32 : x
  2. Step 2: Convert to fraction form
    3,418.80/5,128.74 = 1,228.32/x
  3. Step 3: Cross multiply
    3,418.80x = 5,128.74 × 1,228.32
  4. Step 4: Simplify right side
    3,418.80x = 6,299,733.92
  5. Step 5: Solve for x
    x = 6,299,733.92/3,418.80
  6. Step 6: Final answer
    x = 1,842.67

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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.