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Finding the Fourth Proportional to 1,761.36, 2,428.75 and 1,743.59

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Solution

The fourth proportional to 1,761.36, 2,428.75 and 1,743.59 is: 2,404.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,761.36 : 2,428.75 = 1,743.59 : x
  2. Step 2: Convert to fraction form
    1,761.36/2,428.75 = 1,743.59/x
  3. Step 3: Cross multiply
    1,761.36x = 2,428.75 × 1,743.59
  4. Step 4: Simplify right side
    1,761.36x = 4,234,744.21
  5. Step 5: Solve for x
    x = 4,234,744.21/1,761.36
  6. Step 6: Final answer
    x = 2,404.25

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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.