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Finding the Fourth Proportional to 1,814.17, 2,720.26 and 564.42

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Solution

The fourth proportional to 1,814.17, 2,720.26 and 564.42 is: 846.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,814.17 : 2,720.26 = 564.42 : x
  2. Step 2: Convert to fraction form
    1,814.17/2,720.26 = 564.42/x
  3. Step 3: Cross multiply
    1,814.17x = 2,720.26 × 564.42
  4. Step 4: Simplify right side
    1,814.17x = 1,535,369.15
  5. Step 5: Solve for x
    x = 1,535,369.15/1,814.17
  6. Step 6: Final answer
    x = 846.32

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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.