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Finding the Fourth Proportional to 2,478.42, 3,715.20 and 1,745.64

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Solution

The fourth proportional to 2,478.42, 3,715.20 and 1,745.64 is: 2,616.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,478.42 : 3,715.20 = 1,745.64 : x
  2. Step 2: Convert to fraction form
    2,478.42/3,715.20 = 1,745.64/x
  3. Step 3: Cross multiply
    2,478.42x = 3,715.20 × 1,745.64
  4. Step 4: Simplify right side
    2,478.42x = 6,485,401.73
  5. Step 5: Solve for x
    x = 6,485,401.73/2,478.42
  6. Step 6: Final answer
    x = 2,616.75

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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.