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Finding the Fourth Proportional to 1,796.41, 2,695.65 and 756.33

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Solution

The fourth proportional to 1,796.41, 2,695.65 and 756.33 is: 1,134.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,796.41 : 2,695.65 = 756.33 : x
  2. Step 2: Convert to fraction form
    1,796.41/2,695.65 = 756.33/x
  3. Step 3: Cross multiply
    1,796.41x = 2,695.65 × 756.33
  4. Step 4: Simplify right side
    1,796.41x = 2,038,800.96
  5. Step 5: Solve for x
    x = 2,038,800.96/1,796.41
  6. Step 6: Final answer
    x = 1,134.93

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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.