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Finding the Fourth Proportional to 1,706.56, 2,561.62 and 1,512.80

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Solution

The fourth proportional to 1,706.56, 2,561.62 and 1,512.80 is: 2,270.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,706.56 : 2,561.62 = 1,512.80 : x
  2. Step 2: Convert to fraction form
    1,706.56/2,561.62 = 1,512.80/x
  3. Step 3: Cross multiply
    1,706.56x = 2,561.62 × 1,512.80
  4. Step 4: Simplify right side
    1,706.56x = 3,875,218.74
  5. Step 5: Solve for x
    x = 3,875,218.74/1,706.56
  6. Step 6: Final answer
    x = 2,270.78

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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.