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Finding the Fourth Proportional to 1,680.30, 2,520.14 and 706.41

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Solution

The fourth proportional to 1,680.30, 2,520.14 and 706.41 is: 1,059.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,680.30 : 2,520.14 = 706.41 : x
  2. Step 2: Convert to fraction form
    1,680.30/2,520.14 = 706.41/x
  3. Step 3: Cross multiply
    1,680.30x = 2,520.14 × 706.41
  4. Step 4: Simplify right side
    1,680.30x = 1,780,248.57
  5. Step 5: Solve for x
    x = 1,780,248.57/1,680.30
  6. Step 6: Final answer
    x = 1,059.48

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