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Finding the Fourth Proportional to 1,901.50, 2,851.92 and 514.52

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Solution

The fourth proportional to 1,901.50, 2,851.92 and 514.52 is: 771.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,901.50 : 2,851.92 = 514.52 : x
  2. Step 2: Convert to fraction form
    1,901.50/2,851.92 = 514.52/x
  3. Step 3: Cross multiply
    1,901.50x = 2,851.92 × 514.52
  4. Step 4: Simplify right side
    1,901.50x = 1,467,369.88
  5. Step 5: Solve for x
    x = 1,467,369.88/1,901.50
  6. Step 6: Final answer
    x = 771.69

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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.