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Finding the Fourth Proportional to 2,137.30, 2,944.88 and 1,546.80

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Solution

The fourth proportional to 2,137.30, 2,944.88 and 1,546.80 is: 2,131.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,137.30 : 2,944.88 = 1,546.80 : x
  2. Step 2: Convert to fraction form
    2,137.30/2,944.88 = 1,546.80/x
  3. Step 3: Cross multiply
    2,137.30x = 2,944.88 × 1,546.80
  4. Step 4: Simplify right side
    2,137.30x = 4,555,140.38
  5. Step 5: Solve for x
    x = 4,555,140.38/2,137.30
  6. Step 6: Final answer
    x = 2,131.26

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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.