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Finding the Fourth Proportional to 2,824.68, 4,237.02 and 1,180.20

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Solution

The fourth proportional to 2,824.68, 4,237.02 and 1,180.20 is: 1,770.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,824.68 : 4,237.02 = 1,180.20 : x
  2. Step 2: Convert to fraction form
    2,824.68/4,237.02 = 1,180.20/x
  3. Step 3: Cross multiply
    2,824.68x = 4,237.02 × 1,180.20
  4. Step 4: Simplify right side
    2,824.68x = 5,000,531.00
  5. Step 5: Solve for x
    x = 5,000,531.00/2,824.68
  6. Step 6: Final answer
    x = 1,770.30

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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.