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Finding the Fourth Proportional to 1,694.25, 2,541.27 and 654.18

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Solution

The fourth proportional to 1,694.25, 2,541.27 and 654.18 is: 981.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,694.25 : 2,541.27 = 654.18 : x
  2. Step 2: Convert to fraction form
    1,694.25/2,541.27 = 654.18/x
  3. Step 3: Cross multiply
    1,694.25x = 2,541.27 × 654.18
  4. Step 4: Simplify right side
    1,694.25x = 1,662,440.93
  5. Step 5: Solve for x
    x = 1,662,440.93/1,694.25
  6. Step 6: Final answer
    x = 981.23

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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.