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Finding the Fourth Proportional to 3,450.60, 4,761.84 and 1,878.69

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Solution

The fourth proportional to 3,450.60, 4,761.84 and 1,878.69 is: 2,592.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,450.60 : 4,761.84 = 1,878.69 : x
  2. Step 2: Convert to fraction form
    3,450.60/4,761.84 = 1,878.69/x
  3. Step 3: Cross multiply
    3,450.60x = 4,761.84 × 1,878.69
  4. Step 4: Simplify right side
    3,450.60x = 8,946,011.80
  5. Step 5: Solve for x
    x = 8,946,011.80/3,450.60
  6. Step 6: Final answer
    x = 2,592.60

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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.