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Finding the Fourth Proportional to 2,772.56, 3,825.96 and 1,530.56

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Solution

The fourth proportional to 2,772.56, 3,825.96 and 1,530.56 is: 2,112.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,772.56 : 3,825.96 = 1,530.56 : x
  2. Step 2: Convert to fraction form
    2,772.56/3,825.96 = 1,530.56/x
  3. Step 3: Cross multiply
    2,772.56x = 3,825.96 × 1,530.56
  4. Step 4: Simplify right side
    2,772.56x = 5,855,861.34
  5. Step 5: Solve for x
    x = 5,855,861.34/2,772.56
  6. Step 6: Final answer
    x = 2,112.08

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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.