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Finding the Fourth Proportional to 2,676.85, 4,015.20 and 1,214.98

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Solution

The fourth proportional to 2,676.85, 4,015.20 and 1,214.98 is: 1,822.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,676.85 : 4,015.20 = 1,214.98 : x
  2. Step 2: Convert to fraction form
    2,676.85/4,015.20 = 1,214.98/x
  3. Step 3: Cross multiply
    2,676.85x = 4,015.20 × 1,214.98
  4. Step 4: Simplify right side
    2,676.85x = 4,878,387.70
  5. Step 5: Solve for x
    x = 4,878,387.70/2,676.85
  6. Step 6: Final answer
    x = 1,822.44

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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.