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Finding the Fourth Proportional to 2,409.41, 3,324.84 and 1,414.87

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Solution

The fourth proportional to 2,409.41, 3,324.84 and 1,414.87 is: 1,952.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,409.41 : 3,324.84 = 1,414.87 : x
  2. Step 2: Convert to fraction form
    2,409.41/3,324.84 = 1,414.87/x
  3. Step 3: Cross multiply
    2,409.41x = 3,324.84 × 1,414.87
  4. Step 4: Simplify right side
    2,409.41x = 4,704,216.37
  5. Step 5: Solve for x
    x = 4,704,216.37/2,409.41
  6. Step 6: Final answer
    x = 1,952.43

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.