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Finding the Fourth Proportional to 2,380.14, 3,284.68 and 1,332.14

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Solution

The fourth proportional to 2,380.14, 3,284.68 and 1,332.14 is: 1,838.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,380.14 : 3,284.68 = 1,332.14 : x
  2. Step 2: Convert to fraction form
    2,380.14/3,284.68 = 1,332.14/x
  3. Step 3: Cross multiply
    2,380.14x = 3,284.68 × 1,332.14
  4. Step 4: Simplify right side
    2,380.14x = 4,375,653.62
  5. Step 5: Solve for x
    x = 4,375,653.62/2,380.14
  6. Step 6: Final answer
    x = 1,838.40

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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.