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Finding the Fourth Proportional to 3,366.38, 4,645.96 and 1,970.30

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Solution

The fourth proportional to 3,366.38, 4,645.96 and 1,970.30 is: 2,719.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,366.38 : 4,645.96 = 1,970.30 : x
  2. Step 2: Convert to fraction form
    3,366.38/4,645.96 = 1,970.30/x
  3. Step 3: Cross multiply
    3,366.38x = 4,645.96 × 1,970.30
  4. Step 4: Simplify right side
    3,366.38x = 9,153,906.83
  5. Step 5: Solve for x
    x = 9,153,906.83/3,366.38
  6. Step 6: Final answer
    x = 2,719.22

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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.