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Finding the Fourth Proportional to 1,462.46, 2,193.48 and 640.51

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Solution

The fourth proportional to 1,462.46, 2,193.48 and 640.51 is: 960.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,462.46 : 2,193.48 = 640.51 : x
  2. Step 2: Convert to fraction form
    1,462.46/2,193.48 = 640.51/x
  3. Step 3: Cross multiply
    1,462.46x = 2,193.48 × 640.51
  4. Step 4: Simplify right side
    1,462.46x = 1,404,940.39
  5. Step 5: Solve for x
    x = 1,404,940.39/1,462.46
  6. Step 6: Final answer
    x = 960.67

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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.