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Finding the Fourth Proportional to 2,677.89, 3,695.46 and 1,498.97

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Solution

The fourth proportional to 2,677.89, 3,695.46 and 1,498.97 is: 2,068.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,677.89 : 3,695.46 = 1,498.97 : x
  2. Step 2: Convert to fraction form
    2,677.89/3,695.46 = 1,498.97/x
  3. Step 3: Cross multiply
    2,677.89x = 3,695.46 × 1,498.97
  4. Step 4: Simplify right side
    2,677.89x = 5,539,383.68
  5. Step 5: Solve for x
    x = 5,539,383.68/2,677.89
  6. Step 6: Final answer
    x = 2,068.56

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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.