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Finding the Fourth Proportional to 1,943.87, 2,682.07 and 1,147.22

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Solution

The fourth proportional to 1,943.87, 2,682.07 and 1,147.22 is: 1,582.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,943.87 : 2,682.07 = 1,147.22 : x
  2. Step 2: Convert to fraction form
    1,943.87/2,682.07 = 1,147.22/x
  3. Step 3: Cross multiply
    1,943.87x = 2,682.07 × 1,147.22
  4. Step 4: Simplify right side
    1,943.87x = 3,076,928.89
  5. Step 5: Solve for x
    x = 3,076,928.89/1,943.87
  6. Step 6: Final answer
    x = 1,582.89

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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.