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Finding the Fourth Proportional to 3,214.01, 4,820.94 and 1,733.92

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Solution

The fourth proportional to 3,214.01, 4,820.94 and 1,733.92 is: 2,600.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,214.01 : 4,820.94 = 1,733.92 : x
  2. Step 2: Convert to fraction form
    3,214.01/4,820.94 = 1,733.92/x
  3. Step 3: Cross multiply
    3,214.01x = 4,820.94 × 1,733.92
  4. Step 4: Simplify right side
    3,214.01x = 8,359,112.23
  5. Step 5: Solve for x
    x = 8,359,112.23/3,214.01
  6. Step 6: Final answer
    x = 2,600.83

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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.