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Finding the Fourth Proportional to 3,012.50, 4,519.30 and 932.48

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Solution

The fourth proportional to 3,012.50, 4,519.30 and 932.48 is: 1,398.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,012.50 : 4,519.30 = 932.48 : x
  2. Step 2: Convert to fraction form
    3,012.50/4,519.30 = 932.48/x
  3. Step 3: Cross multiply
    3,012.50x = 4,519.30 × 932.48
  4. Step 4: Simplify right side
    3,012.50x = 4,214,156.86
  5. Step 5: Solve for x
    x = 4,214,156.86/3,012.50
  6. Step 6: Final answer
    x = 1,398.89

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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.