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Finding the Fourth Proportional to 1,605.87, 2,387.79 and 1,540.26

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Solution

The fourth proportional to 1,605.87, 2,387.79 and 1,540.26 is: 2,290.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,605.87 : 2,387.79 = 1,540.26 : x
  2. Step 2: Convert to fraction form
    1,605.87/2,387.79 = 1,540.26/x
  3. Step 3: Cross multiply
    1,605.87x = 2,387.79 × 1,540.26
  4. Step 4: Simplify right side
    1,605.87x = 3,677,817.43
  5. Step 5: Solve for x
    x = 3,677,817.43/1,605.87
  6. Step 6: Final answer
    x = 2,290.23

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.