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Finding the Fourth Proportional to 3,137.16, 4,329.31 and 1,958.91

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Solution

The fourth proportional to 3,137.16, 4,329.31 and 1,958.91 is: 2,703.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,137.16 : 4,329.31 = 1,958.91 : x
  2. Step 2: Convert to fraction form
    3,137.16/4,329.31 = 1,958.91/x
  3. Step 3: Cross multiply
    3,137.16x = 4,329.31 × 1,958.91
  4. Step 4: Simplify right side
    3,137.16x = 8,480,726.12
  5. Step 5: Solve for x
    x = 8,480,726.12/3,137.16
  6. Step 6: Final answer
    x = 2,703.32

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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.