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Finding the Fourth Proportional to 2,854.25, 3,938.14 and 1,675.09

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Solution

The fourth proportional to 2,854.25, 3,938.14 and 1,675.09 is: 2,311.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,854.25 : 3,938.14 = 1,675.09 : x
  2. Step 2: Convert to fraction form
    2,854.25/3,938.14 = 1,675.09/x
  3. Step 3: Cross multiply
    2,854.25x = 3,938.14 × 1,675.09
  4. Step 4: Simplify right side
    2,854.25x = 6,596,738.93
  5. Step 5: Solve for x
    x = 6,596,738.93/2,854.25
  6. Step 6: Final answer
    x = 2,311.20

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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.