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Finding the Fourth Proportional to 2,936.30, 4,404.43 and 856.36

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Solution

The fourth proportional to 2,936.30, 4,404.43 and 856.36 is: 1,284.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,936.30 : 4,404.43 = 856.36 : x
  2. Step 2: Convert to fraction form
    2,936.30/4,404.43 = 856.36/x
  3. Step 3: Cross multiply
    2,936.30x = 4,404.43 × 856.36
  4. Step 4: Simplify right side
    2,936.30x = 3,771,764.52
  5. Step 5: Solve for x
    x = 3,771,764.52/2,936.30
  6. Step 6: Final answer
    x = 1,284.53

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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.