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Finding the Fourth Proportional to 2,764.62, 4,147.16 and 1,121.18

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Solution

The fourth proportional to 2,764.62, 4,147.16 and 1,121.18 is: 1,681.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,764.62 : 4,147.16 = 1,121.18 : x
  2. Step 2: Convert to fraction form
    2,764.62/4,147.16 = 1,121.18/x
  3. Step 3: Cross multiply
    2,764.62x = 4,147.16 × 1,121.18
  4. Step 4: Simplify right side
    2,764.62x = 4,649,686.51
  5. Step 5: Solve for x
    x = 4,649,686.51/2,764.62
  6. Step 6: Final answer
    x = 1,681.85

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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.