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Finding the Fourth Proportional to 2,740.88, 3,780.60 and 2,645.84

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Solution

The fourth proportional to 2,740.88, 3,780.60 and 2,645.84 is: 3,649.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,740.88 : 3,780.60 = 2,645.84 : x
  2. Step 2: Convert to fraction form
    2,740.88/3,780.60 = 2,645.84/x
  3. Step 3: Cross multiply
    2,740.88x = 3,780.60 × 2,645.84
  4. Step 4: Simplify right side
    2,740.88x = 10,002,862.70
  5. Step 5: Solve for x
    x = 10,002,862.70/2,740.88
  6. Step 6: Final answer
    x = 3,649.51

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.