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Finding the Fourth Proportional to 2,785.52, 3,843.82 and 1,526.57

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Solution

The fourth proportional to 2,785.52, 3,843.82 and 1,526.57 is: 2,106.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,785.52 : 3,843.82 = 1,526.57 : x
  2. Step 2: Convert to fraction form
    2,785.52/3,843.82 = 1,526.57/x
  3. Step 3: Cross multiply
    2,785.52x = 3,843.82 × 1,526.57
  4. Step 4: Simplify right side
    2,785.52x = 5,867,871.43
  5. Step 5: Solve for x
    x = 5,867,871.43/2,785.52
  6. Step 6: Final answer
    x = 2,106.56

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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.