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Finding the Fourth Proportional to 2,164.56, 2,972.70 and 1,814.64

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Solution

The fourth proportional to 2,164.56, 2,972.70 and 1,814.64 is: 2,492.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,164.56 : 2,972.70 = 1,814.64 : x
  2. Step 2: Convert to fraction form
    2,164.56/2,972.70 = 1,814.64/x
  3. Step 3: Cross multiply
    2,164.56x = 2,972.70 × 1,814.64
  4. Step 4: Simplify right side
    2,164.56x = 5,394,380.33
  5. Step 5: Solve for x
    x = 5,394,380.33/2,164.56
  6. Step 6: Final answer
    x = 2,492.14

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These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.