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Finding the Fourth Proportional to 1,857.09, 2,781.99 and 1,623

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Solution

The fourth proportional to 1,857.09, 2,781.99 and 1,623 is: 2,431.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,857.09 : 2,781.99 = 1,623 : x
  2. Step 2: Convert to fraction form
    1,857.09/2,781.99 = 1,623/x
  3. Step 3: Cross multiply
    1,857.09x = 2,781.99 × 1,623
  4. Step 4: Simplify right side
    1,857.09x = 4,515,169.77
  5. Step 5: Solve for x
    x = 4,515,169.77/1,857.09
  6. Step 6: Final answer
    x = 2,431.31

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.