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Finding the Fourth Proportional to 2,796.45, 3,859.32 and 1,677.43

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Solution

The fourth proportional to 2,796.45, 3,859.32 and 1,677.43 is: 2,314.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,796.45 : 3,859.32 = 1,677.43 : x
  2. Step 2: Convert to fraction form
    2,796.45/3,859.32 = 1,677.43/x
  3. Step 3: Cross multiply
    2,796.45x = 3,859.32 × 1,677.43
  4. Step 4: Simplify right side
    2,796.45x = 6,473,730.76
  5. Step 5: Solve for x
    x = 6,473,730.76/2,796.45
  6. Step 6: Final answer
    x = 2,314.98

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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.