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Finding the Fourth Proportional to 1,694.64, 2,540.16 and 654.36

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Solution

The fourth proportional to 1,694.64, 2,540.16 and 654.36 is: 980.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,694.64 : 2,540.16 = 654.36 : x
  2. Step 2: Convert to fraction form
    1,694.64/2,540.16 = 654.36/x
  3. Step 3: Cross multiply
    1,694.64x = 2,540.16 × 654.36
  4. Step 4: Simplify right side
    1,694.64x = 1,662,179.10
  5. Step 5: Solve for x
    x = 1,662,179.10/1,694.64
  6. Step 6: Final answer
    x = 980.84

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.