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Finding the Fourth Proportional to 3,096.88, 4,274.12 and 1,770.28

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Solution

The fourth proportional to 3,096.88, 4,274.12 and 1,770.28 is: 2,443.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,096.88 : 4,274.12 = 1,770.28 : x
  2. Step 2: Convert to fraction form
    3,096.88/4,274.12 = 1,770.28/x
  3. Step 3: Cross multiply
    3,096.88x = 4,274.12 × 1,770.28
  4. Step 4: Simplify right side
    3,096.88x = 7,566,389.15
  5. Step 5: Solve for x
    x = 7,566,389.15/3,096.88
  6. Step 6: Final answer
    x = 2,443.23

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.