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Finding the Fourth Proportional to 2,564.42, 3,845.56 and 1,082.68

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Solution

The fourth proportional to 2,564.42, 3,845.56 and 1,082.68 is: 1,623.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,564.42 : 3,845.56 = 1,082.68 : x
  2. Step 2: Convert to fraction form
    2,564.42/3,845.56 = 1,082.68/x
  3. Step 3: Cross multiply
    2,564.42x = 3,845.56 × 1,082.68
  4. Step 4: Simplify right side
    2,564.42x = 4,163,510.90
  5. Step 5: Solve for x
    x = 4,163,510.90/2,564.42
  6. Step 6: Final answer
    x = 1,623.57

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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.