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Finding the Fourth Proportional to 1,732.31, 2,598.36 and 758.41

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Solution

The fourth proportional to 1,732.31, 2,598.36 and 758.41 is: 1,137.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,732.31 : 2,598.36 = 758.41 : x
  2. Step 2: Convert to fraction form
    1,732.31/2,598.36 = 758.41/x
  3. Step 3: Cross multiply
    1,732.31x = 2,598.36 × 758.41
  4. Step 4: Simplify right side
    1,732.31x = 1,970,622.21
  5. Step 5: Solve for x
    x = 1,970,622.21/1,732.31
  6. Step 6: Final answer
    x = 1,137.57

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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.