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Finding the Fourth Proportional to 2,677.88, 3,695.48 and 1,629.95

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Solution

The fourth proportional to 2,677.88, 3,695.48 and 1,629.95 is: 2,249.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,677.88 : 3,695.48 = 1,629.95 : x
  2. Step 2: Convert to fraction form
    2,677.88/3,695.48 = 1,629.95/x
  3. Step 3: Cross multiply
    2,677.88x = 3,695.48 × 1,629.95
  4. Step 4: Simplify right side
    2,677.88x = 6,023,421.00
  5. Step 5: Solve for x
    x = 6,023,421.00/2,677.88
  6. Step 6: Final answer
    x = 2,249.33

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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.