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Finding the Fourth Proportional to 2,236.49, 3,354.76 and 676.51

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Solution

The fourth proportional to 2,236.49, 3,354.76 and 676.51 is: 1,014.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,236.49 : 3,354.76 = 676.51 : x
  2. Step 2: Convert to fraction form
    2,236.49/3,354.76 = 676.51/x
  3. Step 3: Cross multiply
    2,236.49x = 3,354.76 × 676.51
  4. Step 4: Simplify right side
    2,236.49x = 2,269,511.91
  5. Step 5: Solve for x
    x = 2,269,511.91/2,236.49
  6. Step 6: Final answer
    x = 1,014.77

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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.