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Finding the Fourth Proportional to 1,943.50, 2,682.04 and 1,059.30

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Solution

The fourth proportional to 1,943.50, 2,682.04 and 1,059.30 is: 1,461.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,943.50 : 2,682.04 = 1,059.30 : x
  2. Step 2: Convert to fraction form
    1,943.50/2,682.04 = 1,059.30/x
  3. Step 3: Cross multiply
    1,943.50x = 2,682.04 × 1,059.30
  4. Step 4: Simplify right side
    1,943.50x = 2,841,084.97
  5. Step 5: Solve for x
    x = 2,841,084.97/1,943.50
  6. Step 6: Final answer
    x = 1,461.84

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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.