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Finding the Fourth Proportional to 2,164.68, 3,244.59 and 1,008

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Solution

The fourth proportional to 2,164.68, 3,244.59 and 1,008 is: 1,510.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,164.68 : 3,244.59 = 1,008 : x
  2. Step 2: Convert to fraction form
    2,164.68/3,244.59 = 1,008/x
  3. Step 3: Cross multiply
    2,164.68x = 3,244.59 × 1,008
  4. Step 4: Simplify right side
    2,164.68x = 3,270,546.72
  5. Step 5: Solve for x
    x = 3,270,546.72/2,164.68
  6. Step 6: Final answer
    x = 1,510.87

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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.