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Finding the Fourth Proportional to 4,640.49, 6,960.75 and 1,353.67

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Solution

The fourth proportional to 4,640.49, 6,960.75 and 1,353.67 is: 2,030.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,640.49 : 6,960.75 = 1,353.67 : x
  2. Step 2: Convert to fraction form
    4,640.49/6,960.75 = 1,353.67/x
  3. Step 3: Cross multiply
    4,640.49x = 6,960.75 × 1,353.67
  4. Step 4: Simplify right side
    4,640.49x = 9,422,558.45
  5. Step 5: Solve for x
    x = 9,422,558.45/4,640.49
  6. Step 6: Final answer
    x = 2,030.51

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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.