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Finding the Fourth Proportional to 3,382, 4,667.80 and 1,910

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Solution

The fourth proportional to 3,382, 4,667.80 and 1,910 is: 2,636.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,382 : 4,667.80 = 1,910 : x
  2. Step 2: Convert to fraction form
    3,382/4,667.80 = 1,910/x
  3. Step 3: Cross multiply
    3,382x = 4,667.80 × 1,910
  4. Step 4: Simplify right side
    3,382x = 8,915,498
  5. Step 5: Solve for x
    x = 8,915,498/3,382
  6. Step 6: Final answer
    x = 2,636.16

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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.