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Finding the Fourth Proportional to 1,375.80, 2,059.80 and 1,068.20

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Solution

The fourth proportional to 1,375.80, 2,059.80 and 1,068.20 is: 1,599.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,375.80 : 2,059.80 = 1,068.20 : x
  2. Step 2: Convert to fraction form
    1,375.80/2,059.80 = 1,068.20/x
  3. Step 3: Cross multiply
    1,375.80x = 2,059.80 × 1,068.20
  4. Step 4: Simplify right side
    1,375.80x = 2,200,278.36
  5. Step 5: Solve for x
    x = 2,200,278.36/1,375.80
  6. Step 6: Final answer
    x = 1,599.27

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.