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Finding the Fourth Proportional to 2,546.80, 3,517.50 and 2,029.21

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Solution

The fourth proportional to 2,546.80, 3,517.50 and 2,029.21 is: 2,802.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,546.80 : 3,517.50 = 2,029.21 : x
  2. Step 2: Convert to fraction form
    2,546.80/3,517.50 = 2,029.21/x
  3. Step 3: Cross multiply
    2,546.80x = 3,517.50 × 2,029.21
  4. Step 4: Simplify right side
    2,546.80x = 7,137,746.18
  5. Step 5: Solve for x
    x = 7,137,746.18/2,546.80
  6. Step 6: Final answer
    x = 2,802.63

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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.