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Finding the Fourth Proportional to 2,830.47, 3,906.51 and 1,651.53

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Solution

The fourth proportional to 2,830.47, 3,906.51 and 1,651.53 is: 2,279.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,830.47 : 3,906.51 = 1,651.53 : x
  2. Step 2: Convert to fraction form
    2,830.47/3,906.51 = 1,651.53/x
  3. Step 3: Cross multiply
    2,830.47x = 3,906.51 × 1,651.53
  4. Step 4: Simplify right side
    2,830.47x = 6,451,726.92
  5. Step 5: Solve for x
    x = 6,451,726.92/2,830.47
  6. Step 6: Final answer
    x = 2,279.39

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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.