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Finding the Fourth Proportional to 3,137.40, 4,328.94 and 1,958.52

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Solution

The fourth proportional to 3,137.40, 4,328.94 and 1,958.52 is: 2,702.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,137.40 : 4,328.94 = 1,958.52 : x
  2. Step 2: Convert to fraction form
    3,137.40/4,328.94 = 1,958.52/x
  3. Step 3: Cross multiply
    3,137.40x = 4,328.94 × 1,958.52
  4. Step 4: Simplify right side
    3,137.40x = 8,478,315.57
  5. Step 5: Solve for x
    x = 8,478,315.57/3,137.40
  6. Step 6: Final answer
    x = 2,702.34

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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.