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Finding the Fourth Proportional to 2,854.28, 3,938.94 and 1,675.37

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Solution

The fourth proportional to 2,854.28, 3,938.94 and 1,675.37 is: 2,312.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,854.28 : 3,938.94 = 1,675.37 : x
  2. Step 2: Convert to fraction form
    2,854.28/3,938.94 = 1,675.37/x
  3. Step 3: Cross multiply
    2,854.28x = 3,938.94 × 1,675.37
  4. Step 4: Simplify right side
    2,854.28x = 6,599,191.76
  5. Step 5: Solve for x
    x = 6,599,191.76/2,854.28
  6. Step 6: Final answer
    x = 2,312.03

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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.