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Finding the Fourth Proportional to 3,214.84, 4,435.76 and 2,035.23

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Solution

The fourth proportional to 3,214.84, 4,435.76 and 2,035.23 is: 2,808.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,214.84 : 4,435.76 = 2,035.23 : x
  2. Step 2: Convert to fraction form
    3,214.84/4,435.76 = 2,035.23/x
  3. Step 3: Cross multiply
    3,214.84x = 4,435.76 × 2,035.23
  4. Step 4: Simplify right side
    3,214.84x = 9,027,791.82
  5. Step 5: Solve for x
    x = 9,027,791.82/3,214.84
  6. Step 6: Final answer
    x = 2,808.16

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.