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Finding the Fourth Proportional to 1,680.88, 2,521.31 and 654.88

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Solution

The fourth proportional to 1,680.88, 2,521.31 and 654.88 is: 982.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,680.88 : 2,521.31 = 654.88 : x
  2. Step 2: Convert to fraction form
    1,680.88/2,521.31 = 654.88/x
  3. Step 3: Cross multiply
    1,680.88x = 2,521.31 × 654.88
  4. Step 4: Simplify right side
    1,680.88x = 1,651,155.49
  5. Step 5: Solve for x
    x = 1,651,155.49/1,680.88
  6. Step 6: Final answer
    x = 982.32

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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.