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Finding the Fourth Proportional to 3,155.09, 4,352.68 and 1,828.31

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Solution

The fourth proportional to 3,155.09, 4,352.68 and 1,828.31 is: 2,522.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,155.09 : 4,352.68 = 1,828.31 : x
  2. Step 2: Convert to fraction form
    3,155.09/4,352.68 = 1,828.31/x
  3. Step 3: Cross multiply
    3,155.09x = 4,352.68 × 1,828.31
  4. Step 4: Simplify right side
    3,155.09x = 7,958,022.04
  5. Step 5: Solve for x
    x = 7,958,022.04/3,155.09
  6. Step 6: Final answer
    x = 2,522.28

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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.