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Finding the Fourth Proportional to 2,435.82, 3,354.36 and 2,116.65

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Solution

The fourth proportional to 2,435.82, 3,354.36 and 2,116.65 is: 2,914.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,435.82 : 3,354.36 = 2,116.65 : x
  2. Step 2: Convert to fraction form
    2,435.82/3,354.36 = 2,116.65/x
  3. Step 3: Cross multiply
    2,435.82x = 3,354.36 × 2,116.65
  4. Step 4: Simplify right side
    2,435.82x = 7,100,006.09
  5. Step 5: Solve for x
    x = 7,100,006.09/2,435.82
  6. Step 6: Final answer
    x = 2,914.83

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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.