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Finding the Fourth Proportional to 2,936.70, 4,404.38 and 856.67

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Solution

The fourth proportional to 2,936.70, 4,404.38 and 856.67 is: 1,284.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,936.70 : 4,404.38 = 856.67 : x
  2. Step 2: Convert to fraction form
    2,936.70/4,404.38 = 856.67/x
  3. Step 3: Cross multiply
    2,936.70x = 4,404.38 × 856.67
  4. Step 4: Simplify right side
    2,936.70x = 3,773,073.91
  5. Step 5: Solve for x
    x = 3,773,073.91/2,936.70
  6. Step 6: Final answer
    x = 1,284.80

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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.