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Finding the Fourth Proportional to 1,732.20, 2,598.21 and 757.77

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Solution

The fourth proportional to 1,732.20, 2,598.21 and 757.77 is: 1,136.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,732.20 : 2,598.21 = 757.77 : x
  2. Step 2: Convert to fraction form
    1,732.20/2,598.21 = 757.77/x
  3. Step 3: Cross multiply
    1,732.20x = 2,598.21 × 757.77
  4. Step 4: Simplify right side
    1,732.20x = 1,968,845.59
  5. Step 5: Solve for x
    x = 1,968,845.59/1,732.20
  6. Step 6: Final answer
    x = 1,136.62

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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.