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Finding the Fourth Proportional to 1,761.72, 2,431.50 and 1,133.04

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Solution

The fourth proportional to 1,761.72, 2,431.50 and 1,133.04 is: 1,563.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,761.72 : 2,431.50 = 1,133.04 : x
  2. Step 2: Convert to fraction form
    1,761.72/2,431.50 = 1,133.04/x
  3. Step 3: Cross multiply
    1,761.72x = 2,431.50 × 1,133.04
  4. Step 4: Simplify right side
    1,761.72x = 2,754,986.76
  5. Step 5: Solve for x
    x = 2,754,986.76/1,761.72
  6. Step 6: Final answer
    x = 1,563.81

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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.