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Finding the Fourth Proportional to 1,419.08, 1,960.08 and 1,025.48

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Solution

The fourth proportional to 1,419.08, 1,960.08 and 1,025.48 is: 1,416.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,419.08 : 1,960.08 = 1,025.48 : x
  2. Step 2: Convert to fraction form
    1,419.08/1,960.08 = 1,025.48/x
  3. Step 3: Cross multiply
    1,419.08x = 1,960.08 × 1,025.48
  4. Step 4: Simplify right side
    1,419.08x = 2,010,022.84
  5. Step 5: Solve for x
    x = 2,010,022.84/1,419.08
  6. Step 6: Final answer
    x = 1,416.43

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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.