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Finding the Fourth Proportional to 2,854.35, 3,939.21 and 1,659.71

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Solution

The fourth proportional to 2,854.35, 3,939.21 and 1,659.71 is: 2,290.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,854.35 : 3,939.21 = 1,659.71 : x
  2. Step 2: Convert to fraction form
    2,854.35/3,939.21 = 1,659.71/x
  3. Step 3: Cross multiply
    2,854.35x = 3,939.21 × 1,659.71
  4. Step 4: Simplify right side
    2,854.35x = 6,537,956.08
  5. Step 5: Solve for x
    x = 6,537,956.08/2,854.35
  6. Step 6: Final answer
    x = 2,290.52

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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.