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Finding the Fourth Proportional to 1,638.55, 2,262.09 and 1,264.69

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Solution

The fourth proportional to 1,638.55, 2,262.09 and 1,264.69 is: 1,745.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,638.55 : 2,262.09 = 1,264.69 : x
  2. Step 2: Convert to fraction form
    1,638.55/2,262.09 = 1,264.69/x
  3. Step 3: Cross multiply
    1,638.55x = 2,262.09 × 1,264.69
  4. Step 4: Simplify right side
    1,638.55x = 2,860,842.60
  5. Step 5: Solve for x
    x = 2,860,842.60/1,638.55
  6. Step 6: Final answer
    x = 1,745.96

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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.