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Finding the Fourth Proportional to 1,943.66, 2,682.24 and 1,059.46

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Solution

The fourth proportional to 1,943.66, 2,682.24 and 1,059.46 is: 1,462.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,943.66 : 2,682.24 = 1,059.46 : x
  2. Step 2: Convert to fraction form
    1,943.66/2,682.24 = 1,059.46/x
  3. Step 3: Cross multiply
    1,943.66x = 2,682.24 × 1,059.46
  4. Step 4: Simplify right side
    1,943.66x = 2,841,725.99
  5. Step 5: Solve for x
    x = 2,841,725.99/1,943.66
  6. Step 6: Final answer
    x = 1,462.05

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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.