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Finding the Fourth Proportional to 2,706, 3,733.83 and 1,526.88

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Solution

The fourth proportional to 2,706, 3,733.83 and 1,526.88 is: 2,106.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,706 : 3,733.83 = 1,526.88 : x
  2. Step 2: Convert to fraction form
    2,706/3,733.83 = 1,526.88/x
  3. Step 3: Cross multiply
    2,706x = 3,733.83 × 1,526.88
  4. Step 4: Simplify right side
    2,706x = 5,701,110.35
  5. Step 5: Solve for x
    x = 5,701,110.35/2,706
  6. Step 6: Final answer
    x = 2,106.84

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.