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Finding the Fourth Proportional to 3,012.72, 4,518.96 and 1,764

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Solution

The fourth proportional to 3,012.72, 4,518.96 and 1,764 is: 2,645.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,012.72 : 4,518.96 = 1,764 : x
  2. Step 2: Convert to fraction form
    3,012.72/4,518.96 = 1,764/x
  3. Step 3: Cross multiply
    3,012.72x = 4,518.96 × 1,764
  4. Step 4: Simplify right side
    3,012.72x = 7,971,445.44
  5. Step 5: Solve for x
    x = 7,971,445.44/3,012.72
  6. Step 6: Final answer
    x = 2,645.93

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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.