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Finding the Fourth Proportional to 2,546.79, 3,819.04 and 881.07

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Solution

The fourth proportional to 2,546.79, 3,819.04 and 881.07 is: 1,321.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,546.79 : 3,819.04 = 881.07 : x
  2. Step 2: Convert to fraction form
    2,546.79/3,819.04 = 881.07/x
  3. Step 3: Cross multiply
    2,546.79x = 3,819.04 × 881.07
  4. Step 4: Simplify right side
    2,546.79x = 3,364,841.57
  5. Step 5: Solve for x
    x = 3,364,841.57/2,546.79
  6. Step 6: Final answer
    x = 1,321.21

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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.