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Finding the Fourth Proportional to 2,124.84, 3,187.46 and 664.41

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Solution

The fourth proportional to 2,124.84, 3,187.46 and 664.41 is: 996.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,124.84 : 3,187.46 = 664.41 : x
  2. Step 2: Convert to fraction form
    2,124.84/3,187.46 = 664.41/x
  3. Step 3: Cross multiply
    2,124.84x = 3,187.46 × 664.41
  4. Step 4: Simplify right side
    2,124.84x = 2,117,780.30
  5. Step 5: Solve for x
    x = 2,117,780.30/2,124.84
  6. Step 6: Final answer
    x = 996.68

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1.5x scale

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.