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Finding the Fourth Proportional to 2,478.44, 3,715.23 and 1,383.73

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Solution

The fourth proportional to 2,478.44, 3,715.23 and 1,383.73 is: 2,074.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,478.44 : 3,715.23 = 1,383.73 : x
  2. Step 2: Convert to fraction form
    2,478.44/3,715.23 = 1,383.73/x
  3. Step 3: Cross multiply
    2,478.44x = 3,715.23 × 1,383.73
  4. Step 4: Simplify right side
    2,478.44x = 5,140,875.21
  5. Step 5: Solve for x
    x = 5,140,875.21/2,478.44
  6. Step 6: Final answer
    x = 2,074.24

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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.