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Finding the Fourth Proportional to 2,936.34, 4,404.56 and 856.35

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Solution

The fourth proportional to 2,936.34, 4,404.56 and 856.35 is: 1,284.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,936.34 : 4,404.56 = 856.35 : x
  2. Step 2: Convert to fraction form
    2,936.34/4,404.56 = 856.35/x
  3. Step 3: Cross multiply
    2,936.34x = 4,404.56 × 856.35
  4. Step 4: Simplify right side
    2,936.34x = 3,771,840.67
  5. Step 5: Solve for x
    x = 3,771,840.67/2,936.34
  6. Step 6: Final answer
    x = 1,284.54

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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.