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Finding the Fourth Proportional to 2,546.80, 3,818.94 and 815.20

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Solution

The fourth proportional to 2,546.80, 3,818.94 and 815.20 is: 1,222.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,546.80 : 3,818.94 = 815.20 : x
  2. Step 2: Convert to fraction form
    2,546.80/3,818.94 = 815.20/x
  3. Step 3: Cross multiply
    2,546.80x = 3,818.94 × 815.20
  4. Step 4: Simplify right side
    2,546.80x = 3,113,199.89
  5. Step 5: Solve for x
    x = 3,113,199.89/2,546.80
  6. Step 6: Final answer
    x = 1,222.40

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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.