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Finding the Fourth Proportional to 1,814.56, 2,720.22 and 643.74

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Solution

The fourth proportional to 1,814.56, 2,720.22 and 643.74 is: 965.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,814.56 : 2,720.22 = 643.74 : x
  2. Step 2: Convert to fraction form
    1,814.56/2,720.22 = 643.74/x
  3. Step 3: Cross multiply
    1,814.56x = 2,720.22 × 643.74
  4. Step 4: Simplify right side
    1,814.56x = 1,751,114.42
  5. Step 5: Solve for x
    x = 1,751,114.42/1,814.56
  6. Step 6: Final answer
    x = 965.04

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.