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Finding the Fourth Proportional to 3,013.84, 4,520.76 and 822.89

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Solution

The fourth proportional to 3,013.84, 4,520.76 and 822.89 is: 1,234.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,013.84 : 4,520.76 = 822.89 : x
  2. Step 2: Convert to fraction form
    3,013.84/4,520.76 = 822.89/x
  3. Step 3: Cross multiply
    3,013.84x = 4,520.76 × 822.89
  4. Step 4: Simplify right side
    3,013.84x = 3,720,096.41
  5. Step 5: Solve for x
    x = 3,720,096.41/3,013.84
  6. Step 6: Final answer
    x = 1,234.34

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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.