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Finding the Fourth Proportional to 3,450.66, 4,761.89 and 1,878.74

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Solution

The fourth proportional to 3,450.66, 4,761.89 and 1,878.74 is: 2,592.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,450.66 : 4,761.89 = 1,878.74 : x
  2. Step 2: Convert to fraction form
    3,450.66/4,761.89 = 1,878.74/x
  3. Step 3: Cross multiply
    3,450.66x = 4,761.89 × 1,878.74
  4. Step 4: Simplify right side
    3,450.66x = 8,946,353.22
  5. Step 5: Solve for x
    x = 8,946,353.22/3,450.66
  6. Step 6: Final answer
    x = 2,592.65

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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.