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Finding the Fourth Proportional to 2,625.51, 3,938.28 and 677.57

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Solution

The fourth proportional to 2,625.51, 3,938.28 and 677.57 is: 1,016.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,625.51 : 3,938.28 = 677.57 : x
  2. Step 2: Convert to fraction form
    2,625.51/3,938.28 = 677.57/x
  3. Step 3: Cross multiply
    2,625.51x = 3,938.28 × 677.57
  4. Step 4: Simplify right side
    2,625.51x = 2,668,460.38
  5. Step 5: Solve for x
    x = 2,668,460.38/2,625.51
  6. Step 6: Final answer
    x = 1,016.36

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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.