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Finding the Fourth Proportional to 1,676.12, 2,512.72 and 946.76

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Solution

The fourth proportional to 1,676.12, 2,512.72 and 946.76 is: 1,419.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,676.12 : 2,512.72 = 946.76 : x
  2. Step 2: Convert to fraction form
    1,676.12/2,512.72 = 946.76/x
  3. Step 3: Cross multiply
    1,676.12x = 2,512.72 × 946.76
  4. Step 4: Simplify right side
    1,676.12x = 2,378,942.79
  5. Step 5: Solve for x
    x = 2,378,942.79/1,676.12
  6. Step 6: Final answer
    x = 1,419.32

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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.