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Finding the Fourth Proportional to 2,706.28, 4,056.14 and 1,769.68

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Solution

The fourth proportional to 2,706.28, 4,056.14 and 1,769.68 is: 2,652.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,706.28 : 4,056.14 = 1,769.68 : x
  2. Step 2: Convert to fraction form
    2,706.28/4,056.14 = 1,769.68/x
  3. Step 3: Cross multiply
    2,706.28x = 4,056.14 × 1,769.68
  4. Step 4: Simplify right side
    2,706.28x = 7,178,079.33
  5. Step 5: Solve for x
    x = 7,178,079.33/2,706.28
  6. Step 6: Final answer
    x = 2,652.38

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1.5x scale

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.