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Finding the Fourth Proportional to 2,382, 3,573.72 and 1,286.16

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Solution

The fourth proportional to 2,382, 3,573.72 and 1,286.16 is: 1,929.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,382 : 3,573.72 = 1,286.16 : x
  2. Step 2: Convert to fraction form
    2,382/3,573.72 = 1,286.16/x
  3. Step 3: Cross multiply
    2,382x = 3,573.72 × 1,286.16
  4. Step 4: Simplify right side
    2,382x = 4,596,375.72
  5. Step 5: Solve for x
    x = 4,596,375.72/2,382
  6. Step 6: Final answer
    x = 1,929.63

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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.