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Finding the Fourth Proportional to 2,765.21, 4,147.04 and 1,098.59

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Solution

The fourth proportional to 2,765.21, 4,147.04 and 1,098.59 is: 1,647.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,765.21 : 4,147.04 = 1,098.59 : x
  2. Step 2: Convert to fraction form
    2,765.21/4,147.04 = 1,098.59/x
  3. Step 3: Cross multiply
    2,765.21x = 4,147.04 × 1,098.59
  4. Step 4: Simplify right side
    2,765.21x = 4,555,870.45
  5. Step 5: Solve for x
    x = 4,555,870.45/2,765.21
  6. Step 6: Final answer
    x = 1,647.57

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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.