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Finding the Fourth Proportional to 1,753.17, 2,629.86 and 779.94

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Solution

The fourth proportional to 1,753.17, 2,629.86 and 779.94 is: 1,169.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,753.17 : 2,629.86 = 779.94 : x
  2. Step 2: Convert to fraction form
    1,753.17/2,629.86 = 779.94/x
  3. Step 3: Cross multiply
    1,753.17x = 2,629.86 × 779.94
  4. Step 4: Simplify right side
    1,753.17x = 2,051,133.01
  5. Step 5: Solve for x
    x = 2,051,133.01/1,753.17
  6. Step 6: Final answer
    x = 1,169.96

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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.