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Finding the Fourth Proportional to 1,943.50, 2,682.51 and 1,197.94

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Solution

The fourth proportional to 1,943.50, 2,682.51 and 1,197.94 is: 1,653.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,943.50 : 2,682.51 = 1,197.94 : x
  2. Step 2: Convert to fraction form
    1,943.50/2,682.51 = 1,197.94/x
  3. Step 3: Cross multiply
    1,943.50x = 2,682.51 × 1,197.94
  4. Step 4: Simplify right side
    1,943.50x = 3,213,486.03
  5. Step 5: Solve for x
    x = 3,213,486.03/1,943.50
  6. Step 6: Final answer
    x = 1,653.45

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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.