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Finding the Fourth Proportional to 1,909, 2,863.86 and 541

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Solution

The fourth proportional to 1,909, 2,863.86 and 541 is: 811.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,909 : 2,863.86 = 541 : x
  2. Step 2: Convert to fraction form
    1,909/2,863.86 = 541/x
  3. Step 3: Cross multiply
    1,909x = 2,863.86 × 541
  4. Step 4: Simplify right side
    1,909x = 1,549,348.26
  5. Step 5: Solve for x
    x = 1,549,348.26/1,909
  6. Step 6: Final answer
    x = 811.60

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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.