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Finding the Fourth Proportional to 1,763.82, 2,433.88 and 1,142.82

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Solution

The fourth proportional to 1,763.82, 2,433.88 and 1,142.82 is: 1,576.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,763.82 : 2,433.88 = 1,142.82 : x
  2. Step 2: Convert to fraction form
    1,763.82/2,433.88 = 1,142.82/x
  3. Step 3: Cross multiply
    1,763.82x = 2,433.88 × 1,142.82
  4. Step 4: Simplify right side
    1,763.82x = 2,781,486.74
  5. Step 5: Solve for x
    x = 2,781,486.74/1,763.82
  6. Step 6: Final answer
    x = 1,576.97

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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.