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Finding the Fourth Proportional to 3,415.17, 5,124.74 and 1,440.67

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Solution

The fourth proportional to 3,415.17, 5,124.74 and 1,440.67 is: 2,161.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,415.17 : 5,124.74 = 1,440.67 : x
  2. Step 2: Convert to fraction form
    3,415.17/5,124.74 = 1,440.67/x
  3. Step 3: Cross multiply
    3,415.17x = 5,124.74 × 1,440.67
  4. Step 4: Simplify right side
    3,415.17x = 7,383,059.18
  5. Step 5: Solve for x
    x = 7,383,059.18/3,415.17
  6. Step 6: Final answer
    x = 2,161.84

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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.