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Finding the Fourth Proportional to 3,122.59, 4,309.43 and 1,943.84

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Solution

The fourth proportional to 3,122.59, 4,309.43 and 1,943.84 is: 2,682.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,122.59 : 4,309.43 = 1,943.84 : x
  2. Step 2: Convert to fraction form
    3,122.59/4,309.43 = 1,943.84/x
  3. Step 3: Cross multiply
    3,122.59x = 4,309.43 × 1,943.84
  4. Step 4: Simplify right side
    3,122.59x = 8,376,842.41
  5. Step 5: Solve for x
    x = 8,376,842.41/3,122.59
  6. Step 6: Final answer
    x = 2,682.66

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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.