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Finding the Fourth Proportional to 3,179.54, 4,772.64 and 1,719.74

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Solution

The fourth proportional to 3,179.54, 4,772.64 and 1,719.74 is: 2,581.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,179.54 : 4,772.64 = 1,719.74 : x
  2. Step 2: Convert to fraction form
    3,179.54/4,772.64 = 1,719.74/x
  3. Step 3: Cross multiply
    3,179.54x = 4,772.64 × 1,719.74
  4. Step 4: Simplify right side
    3,179.54x = 8,207,699.91
  5. Step 5: Solve for x
    x = 8,207,699.91/3,179.54
  6. Step 6: Final answer
    x = 2,581.41

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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.