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Finding the Fourth Proportional to 1,761.70, 2,430.69 and 1,131.94

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Solution

The fourth proportional to 1,761.70, 2,430.69 and 1,131.94 is: 1,561.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,761.70 : 2,430.69 = 1,131.94 : x
  2. Step 2: Convert to fraction form
    1,761.70/2,430.69 = 1,131.94/x
  3. Step 3: Cross multiply
    1,761.70x = 2,430.69 × 1,131.94
  4. Step 4: Simplify right side
    1,761.70x = 2,751,395.24
  5. Step 5: Solve for x
    x = 2,751,395.24/1,761.70
  6. Step 6: Final answer
    x = 1,561.78

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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.