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Finding the Fourth Proportional to 2,409.78, 3,325.31 and 1,465.44

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Solution

The fourth proportional to 2,409.78, 3,325.31 and 1,465.44 is: 2,022.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,409.78 : 3,325.31 = 1,465.44 : x
  2. Step 2: Convert to fraction form
    2,409.78/3,325.31 = 1,465.44/x
  3. Step 3: Cross multiply
    2,409.78x = 3,325.31 × 1,465.44
  4. Step 4: Simplify right side
    2,409.78x = 4,873,046.69
  5. Step 5: Solve for x
    x = 4,873,046.69/2,409.78
  6. Step 6: Final answer
    x = 2,022.20

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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.