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Finding the Fourth Proportional to 2,159.25, 2,980.13 and 1,634.37

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Solution

The fourth proportional to 2,159.25, 2,980.13 and 1,634.37 is: 2,255.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,159.25 : 2,980.13 = 1,634.37 : x
  2. Step 2: Convert to fraction form
    2,159.25/2,980.13 = 1,634.37/x
  3. Step 3: Cross multiply
    2,159.25x = 2,980.13 × 1,634.37
  4. Step 4: Simplify right side
    2,159.25x = 4,870,626.90
  5. Step 5: Solve for x
    x = 4,870,626.90/2,159.25
  6. Step 6: Final answer
    x = 2,255.70

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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.