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Finding the Fourth Proportional to 3,381.84, 5,072.64 and 1,432.80

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Solution

The fourth proportional to 3,381.84, 5,072.64 and 1,432.80 is: 2,149.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,381.84 : 5,072.64 = 1,432.80 : x
  2. Step 2: Convert to fraction form
    3,381.84/5,072.64 = 1,432.80/x
  3. Step 3: Cross multiply
    3,381.84x = 5,072.64 × 1,432.80
  4. Step 4: Simplify right side
    3,381.84x = 7,268,078.59
  5. Step 5: Solve for x
    x = 7,268,078.59/3,381.84
  6. Step 6: Final answer
    x = 2,149.15

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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.