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Finding the Fourth Proportional to 1,761.81, 2,431.41 and 1,171.95

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Solution

The fourth proportional to 1,761.81, 2,431.41 and 1,171.95 is: 1,617.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,761.81 : 2,431.41 = 1,171.95 : x
  2. Step 2: Convert to fraction form
    1,761.81/2,431.41 = 1,171.95/x
  3. Step 3: Cross multiply
    1,761.81x = 2,431.41 × 1,171.95
  4. Step 4: Simplify right side
    1,761.81x = 2,849,490.95
  5. Step 5: Solve for x
    x = 2,849,490.95/1,761.81
  6. Step 6: Final answer
    x = 1,617.37

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.