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Finding the Fourth Proportional to 1,732.45, 2,597.13 and 757.78

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Solution

The fourth proportional to 1,732.45, 2,597.13 and 757.78 is: 1,135.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,732.45 : 2,597.13 = 757.78 : x
  2. Step 2: Convert to fraction form
    1,732.45/2,597.13 = 757.78/x
  3. Step 3: Cross multiply
    1,732.45x = 2,597.13 × 757.78
  4. Step 4: Simplify right side
    1,732.45x = 1,968,053.17
  5. Step 5: Solve for x
    x = 1,968,053.17/1,732.45
  6. Step 6: Final answer
    x = 1,135.99

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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.