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Finding the Fourth Proportional to 2,706.68, 3,735.56 and 1,528.00

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Solution

The fourth proportional to 2,706.68, 3,735.56 and 1,528.00 is: 2,108.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,706.68 : 3,735.56 = 1,528.00 : x
  2. Step 2: Convert to fraction form
    2,706.68/3,735.56 = 1,528.00/x
  3. Step 3: Cross multiply
    2,706.68x = 3,735.56 × 1,528.00
  4. Step 4: Simplify right side
    2,706.68x = 5,707,930.16
  5. Step 5: Solve for x
    x = 5,707,930.16/2,706.68
  6. Step 6: Final answer
    x = 2,108.83

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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.