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Finding the Fourth Proportional to 4,900.24, 7,348.86 and 1,612.66

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Solution

The fourth proportional to 4,900.24, 7,348.86 and 1,612.66 is: 2,418.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,900.24 : 7,348.86 = 1,612.66 : x
  2. Step 2: Convert to fraction form
    4,900.24/7,348.86 = 1,612.66/x
  3. Step 3: Cross multiply
    4,900.24x = 7,348.86 × 1,612.66
  4. Step 4: Simplify right side
    4,900.24x = 11,851,212.57
  5. Step 5: Solve for x
    x = 11,851,212.57/4,900.24
  6. Step 6: Final answer
    x = 2,418.50

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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.