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Finding the Fourth Proportional to 2,776.44, 4,164.70 and 1,216.12

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Solution

The fourth proportional to 2,776.44, 4,164.70 and 1,216.12 is: 1,824.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,776.44 : 4,164.70 = 1,216.12 : x
  2. Step 2: Convert to fraction form
    2,776.44/4,164.70 = 1,216.12/x
  3. Step 3: Cross multiply
    2,776.44x = 4,164.70 × 1,216.12
  4. Step 4: Simplify right side
    2,776.44x = 5,064,774.96
  5. Step 5: Solve for x
    x = 5,064,774.96/2,776.44
  6. Step 6: Final answer
    x = 1,824.20

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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.