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Finding the Fourth Proportional to 2,546.43, 3,818.44 and 987.18

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Solution

The fourth proportional to 2,546.43, 3,818.44 and 987.18 is: 1,480.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,546.43 : 3,818.44 = 987.18 : x
  2. Step 2: Convert to fraction form
    2,546.43/3,818.44 = 987.18/x
  3. Step 3: Cross multiply
    2,546.43x = 3,818.44 × 987.18
  4. Step 4: Simplify right side
    2,546.43x = 3,769,487.60
  5. Step 5: Solve for x
    x = 3,769,487.60/2,546.43
  6. Step 6: Final answer
    x = 1,480.30

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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.