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Finding the Fourth Proportional to 3,154.68, 4,353.46 and 1,757.48

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Solution

The fourth proportional to 3,154.68, 4,353.46 and 1,757.48 is: 2,425.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,154.68 : 4,353.46 = 1,757.48 : x
  2. Step 2: Convert to fraction form
    3,154.68/4,353.46 = 1,757.48/x
  3. Step 3: Cross multiply
    3,154.68x = 4,353.46 × 1,757.48
  4. Step 4: Simplify right side
    3,154.68x = 7,651,118.88
  5. Step 5: Solve for x
    x = 7,651,118.88/3,154.68
  6. Step 6: Final answer
    x = 2,425.32

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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.