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Finding the Fourth Proportional to 2,706.80, 4,060.16 and 1,473.92

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Solution

The fourth proportional to 2,706.80, 4,060.16 and 1,473.92 is: 2,210.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,706.80 : 4,060.16 = 1,473.92 : x
  2. Step 2: Convert to fraction form
    2,706.80/4,060.16 = 1,473.92/x
  3. Step 3: Cross multiply
    2,706.80x = 4,060.16 × 1,473.92
  4. Step 4: Simplify right side
    2,706.80x = 5,984,351.03
  5. Step 5: Solve for x
    x = 5,984,351.03/2,706.80
  6. Step 6: Final answer
    x = 2,210.86

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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.