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Finding the Fourth Proportional to 2,670.22, 4,004.71 and 938.84

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Solution

The fourth proportional to 2,670.22, 4,004.71 and 938.84 is: 1,408.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,670.22 : 4,004.71 = 938.84 : x
  2. Step 2: Convert to fraction form
    2,670.22/4,004.71 = 938.84/x
  3. Step 3: Cross multiply
    2,670.22x = 4,004.71 × 938.84
  4. Step 4: Simplify right side
    2,670.22x = 3,759,781.94
  5. Step 5: Solve for x
    x = 3,759,781.94/2,670.22
  6. Step 6: Final answer
    x = 1,408.04

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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.