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Finding the Fourth Proportional to 2,625.28, 3,938.19 and 677.50

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Solution

The fourth proportional to 2,625.28, 3,938.19 and 677.50 is: 1,016.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,625.28 : 3,938.19 = 677.50 : x
  2. Step 2: Convert to fraction form
    2,625.28/3,938.19 = 677.50/x
  3. Step 3: Cross multiply
    2,625.28x = 3,938.19 × 677.50
  4. Step 4: Simplify right side
    2,625.28x = 2,668,111.34
  5. Step 5: Solve for x
    x = 2,668,111.34/2,625.28
  6. Step 6: Final answer
    x = 1,016.32

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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.