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Finding the Fourth Proportional to 3,288.63, 4,933.40 and 1,208.15

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Solution

The fourth proportional to 3,288.63, 4,933.40 and 1,208.15 is: 1,812.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,288.63 : 4,933.40 = 1,208.15 : x
  2. Step 2: Convert to fraction form
    3,288.63/4,933.40 = 1,208.15/x
  3. Step 3: Cross multiply
    3,288.63x = 4,933.40 × 1,208.15
  4. Step 4: Simplify right side
    3,288.63x = 5,960,256.50
  5. Step 5: Solve for x
    x = 5,960,256.50/3,288.63
  6. Step 6: Final answer
    x = 1,812.38

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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.