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Finding the Fourth Proportional to 2,458.95, 3,688.42 and 2,025.19

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Solution

The fourth proportional to 2,458.95, 3,688.42 and 2,025.19 is: 3,037.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,458.95 : 3,688.42 = 2,025.19 : x
  2. Step 2: Convert to fraction form
    2,458.95/3,688.42 = 2,025.19/x
  3. Step 3: Cross multiply
    2,458.95x = 3,688.42 × 2,025.19
  4. Step 4: Simplify right side
    2,458.95x = 7,469,751.30
  5. Step 5: Solve for x
    x = 7,469,751.30/2,458.95
  6. Step 6: Final answer
    x = 3,037.78

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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.