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Finding the Fourth Proportional to 2,090.87, 2,891.67 and 1,828.43

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Solution

The fourth proportional to 2,090.87, 2,891.67 and 1,828.43 is: 2,528.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,090.87 : 2,891.67 = 1,828.43 : x
  2. Step 2: Convert to fraction form
    2,090.87/2,891.67 = 1,828.43/x
  3. Step 3: Cross multiply
    2,090.87x = 2,891.67 × 1,828.43
  4. Step 4: Simplify right side
    2,090.87x = 5,287,216.18
  5. Step 5: Solve for x
    x = 5,287,216.18/2,090.87
  6. Step 6: Final answer
    x = 2,528.72

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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.