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Finding the Fourth Proportional to 2,634.87, 3,949.02 and 1,465.50

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Solution

The fourth proportional to 2,634.87, 3,949.02 and 1,465.50 is: 2,196.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,634.87 : 3,949.02 = 1,465.50 : x
  2. Step 2: Convert to fraction form
    2,634.87/3,949.02 = 1,465.50/x
  3. Step 3: Cross multiply
    2,634.87x = 3,949.02 × 1,465.50
  4. Step 4: Simplify right side
    2,634.87x = 5,787,288.81
  5. Step 5: Solve for x
    x = 5,787,288.81/2,634.87
  6. Step 6: Final answer
    x = 2,196.42

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.