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Finding the Fourth Proportional to 2,849.50, 4,274.26 and 901.70

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Solution

The fourth proportional to 2,849.50, 4,274.26 and 901.70 is: 1,352.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,849.50 : 4,274.26 = 901.70 : x
  2. Step 2: Convert to fraction form
    2,849.50/4,274.26 = 901.70/x
  3. Step 3: Cross multiply
    2,849.50x = 4,274.26 × 901.70
  4. Step 4: Simplify right side
    2,849.50x = 3,854,100.24
  5. Step 5: Solve for x
    x = 3,854,100.24/2,849.50
  6. Step 6: Final answer
    x = 1,352.55

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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.