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Finding the Fourth Proportional to 4,610.66, 6,914.57 and 1,322.87

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Solution

The fourth proportional to 4,610.66, 6,914.57 and 1,322.87 is: 1,983.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,610.66 : 6,914.57 = 1,322.87 : x
  2. Step 2: Convert to fraction form
    4,610.66/6,914.57 = 1,322.87/x
  3. Step 3: Cross multiply
    4,610.66x = 6,914.57 × 1,322.87
  4. Step 4: Simplify right side
    4,610.66x = 9,147,036.03
  5. Step 5: Solve for x
    x = 9,147,036.03/4,610.66
  6. Step 6: Final answer
    x = 1,983.89

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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.