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Finding the Fourth Proportional to 2,967.12, 4,094.76 and 1,724.88

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Solution

The fourth proportional to 2,967.12, 4,094.76 and 1,724.88 is: 2,380.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,967.12 : 4,094.76 = 1,724.88 : x
  2. Step 2: Convert to fraction form
    2,967.12/4,094.76 = 1,724.88/x
  3. Step 3: Cross multiply
    2,967.12x = 4,094.76 × 1,724.88
  4. Step 4: Simplify right side
    2,967.12x = 7,062,969.63
  5. Step 5: Solve for x
    x = 7,062,969.63/2,967.12
  6. Step 6: Final answer
    x = 2,380.41

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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.