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Finding the Fourth Proportional to 3,214.14, 4,435.89 and 1,816.89

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Solution

The fourth proportional to 3,214.14, 4,435.89 and 1,816.89 is: 2,507.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,214.14 : 4,435.89 = 1,816.89 : x
  2. Step 2: Convert to fraction form
    3,214.14/4,435.89 = 1,816.89/x
  3. Step 3: Cross multiply
    3,214.14x = 4,435.89 × 1,816.89
  4. Step 4: Simplify right side
    3,214.14x = 8,059,524.18
  5. Step 5: Solve for x
    x = 8,059,524.18/3,214.14
  6. Step 6: Final answer
    x = 2,507.52

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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.