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Finding the Fourth Proportional to 2,409.48, 3,325.12 and 1,414.78

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Solution

The fourth proportional to 2,409.48, 3,325.12 and 1,414.78 is: 1,952.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,409.48 : 3,325.12 = 1,414.78 : x
  2. Step 2: Convert to fraction form
    2,409.48/3,325.12 = 1,414.78/x
  3. Step 3: Cross multiply
    2,409.48x = 3,325.12 × 1,414.78
  4. Step 4: Simplify right side
    2,409.48x = 4,704,313.27
  5. Step 5: Solve for x
    x = 4,704,313.27/2,409.48
  6. Step 6: Final answer
    x = 1,952.42

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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.