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Finding the Fourth Proportional to 2,625.44, 3,627.68 and 2,532

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Solution

The fourth proportional to 2,625.44, 3,627.68 and 2,532 is: 3,498.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,625.44 : 3,627.68 = 2,532 : x
  2. Step 2: Convert to fraction form
    2,625.44/3,627.68 = 2,532/x
  3. Step 3: Cross multiply
    2,625.44x = 3,627.68 × 2,532
  4. Step 4: Simplify right side
    2,625.44x = 9,185,285.76
  5. Step 5: Solve for x
    x = 9,185,285.76/2,625.44
  6. Step 6: Final answer
    x = 3,498.57

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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.