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Finding the Fourth Proportional to 2,675.84, 4,013.43 and 826.94

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Solution

The fourth proportional to 2,675.84, 4,013.43 and 826.94 is: 1,240.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,675.84 : 4,013.43 = 826.94 : x
  2. Step 2: Convert to fraction form
    2,675.84/4,013.43 = 826.94/x
  3. Step 3: Cross multiply
    2,675.84x = 4,013.43 × 826.94
  4. Step 4: Simplify right side
    2,675.84x = 3,318,865.80
  5. Step 5: Solve for x
    x = 3,318,865.80/2,675.84
  6. Step 6: Final answer
    x = 1,240.31

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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.