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Finding the Fourth Proportional to 2,409.59, 3,325.26 and 1,414.88

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Solution

The fourth proportional to 2,409.59, 3,325.26 and 1,414.88 is: 1,952.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,409.59 : 3,325.26 = 1,414.88 : x
  2. Step 2: Convert to fraction form
    2,409.59/3,325.26 = 1,414.88/x
  3. Step 3: Cross multiply
    2,409.59x = 3,325.26 × 1,414.88
  4. Step 4: Simplify right side
    2,409.59x = 4,704,843.87
  5. Step 5: Solve for x
    x = 4,704,843.87/2,409.59
  6. Step 6: Final answer
    x = 1,952.55

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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.