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Finding the Fourth Proportional to 4,610.31, 6,914.43 and 1,322.67

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Solution

The fourth proportional to 4,610.31, 6,914.43 and 1,322.67 is: 1,983.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,610.31 : 6,914.43 = 1,322.67 : x
  2. Step 2: Convert to fraction form
    4,610.31/6,914.43 = 1,322.67/x
  3. Step 3: Cross multiply
    4,610.31x = 6,914.43 × 1,322.67
  4. Step 4: Simplify right side
    4,610.31x = 9,145,509.13
  5. Step 5: Solve for x
    x = 9,145,509.13/4,610.31
  6. Step 6: Final answer
    x = 1,983.71

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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.