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Finding the Fourth Proportional to 2,677.67, 3,695.61 and 2,046.98

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Solution

The fourth proportional to 2,677.67, 3,695.61 and 2,046.98 is: 2,825.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,677.67 : 3,695.61 = 2,046.98 : x
  2. Step 2: Convert to fraction form
    2,677.67/3,695.61 = 2,046.98/x
  3. Step 3: Cross multiply
    2,677.67x = 3,695.61 × 2,046.98
  4. Step 4: Simplify right side
    2,677.67x = 7,564,856.67
  5. Step 5: Solve for x
    x = 7,564,856.67/2,677.67
  6. Step 6: Final answer
    x = 2,825.17

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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.