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Finding the Fourth Proportional to 2,159.22, 2,980.08 and 1,694.28

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Solution

The fourth proportional to 2,159.22, 2,980.08 and 1,694.28 is: 2,338.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,159.22 : 2,980.08 = 1,694.28 : x
  2. Step 2: Convert to fraction form
    2,159.22/2,980.08 = 1,694.28/x
  3. Step 3: Cross multiply
    2,159.22x = 2,980.08 × 1,694.28
  4. Step 4: Simplify right side
    2,159.22x = 5,049,089.94
  5. Step 5: Solve for x
    x = 5,049,089.94/2,159.22
  6. Step 6: Final answer
    x = 2,338.39

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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.