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Finding the Fourth Proportional to 1,763.69, 2,432.90 and 1,638.54

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Solution

The fourth proportional to 1,763.69, 2,432.90 and 1,638.54 is: 2,260.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,763.69 : 2,432.90 = 1,638.54 : x
  2. Step 2: Convert to fraction form
    1,763.69/2,432.90 = 1,638.54/x
  3. Step 3: Cross multiply
    1,763.69x = 2,432.90 × 1,638.54
  4. Step 4: Simplify right side
    1,763.69x = 3,986,408.06
  5. Step 5: Solve for x
    x = 3,986,408.06/1,763.69
  6. Step 6: Final answer
    x = 2,260.27

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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.