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Finding the Fourth Proportional to 1,287.86, 1,943.33 and 1,242.09

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Solution

The fourth proportional to 1,287.86, 1,943.33 and 1,242.09 is: 1,874.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,287.86 : 1,943.33 = 1,242.09 : x
  2. Step 2: Convert to fraction form
    1,287.86/1,943.33 = 1,242.09/x
  3. Step 3: Cross multiply
    1,287.86x = 1,943.33 × 1,242.09
  4. Step 4: Simplify right side
    1,287.86x = 2,413,784.55
  5. Step 5: Solve for x
    x = 2,413,784.55/1,287.86
  6. Step 6: Final answer
    x = 1,874.27

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.