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Finding the Fourth Proportional to 1,684.20, 2,526.36 and 759.60

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Solution

The fourth proportional to 1,684.20, 2,526.36 and 759.60 is: 1,139.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,684.20 : 2,526.36 = 759.60 : x
  2. Step 2: Convert to fraction form
    1,684.20/2,526.36 = 759.60/x
  3. Step 3: Cross multiply
    1,684.20x = 2,526.36 × 759.60
  4. Step 4: Simplify right side
    1,684.20x = 1,919,023.06
  5. Step 5: Solve for x
    x = 1,919,023.06/1,684.20
  6. Step 6: Final answer
    x = 1,139.43

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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.