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Finding the Fourth Proportional to 1,882.38, 2,824.29 and 1,758.54

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Solution

The fourth proportional to 1,882.38, 2,824.29 and 1,758.54 is: 2,638.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,882.38 : 2,824.29 = 1,758.54 : x
  2. Step 2: Convert to fraction form
    1,882.38/2,824.29 = 1,758.54/x
  3. Step 3: Cross multiply
    1,882.38x = 2,824.29 × 1,758.54
  4. Step 4: Simplify right side
    1,882.38x = 4,966,626.94
  5. Step 5: Solve for x
    x = 4,966,626.94/1,882.38
  6. Step 6: Final answer
    x = 2,638.48

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.