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Finding the Fourth Proportional to 2,811.80, 4,217.84 and 962.84

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Solution

The fourth proportional to 2,811.80, 4,217.84 and 962.84 is: 1,444.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,811.80 : 4,217.84 = 962.84 : x
  2. Step 2: Convert to fraction form
    2,811.80/4,217.84 = 962.84/x
  3. Step 3: Cross multiply
    2,811.80x = 4,217.84 × 962.84
  4. Step 4: Simplify right side
    2,811.80x = 4,061,105.07
  5. Step 5: Solve for x
    x = 4,061,105.07/2,811.80
  6. Step 6: Final answer
    x = 1,444.31

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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.