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Finding the Fourth Proportional to 1,942.66, 2,914.45 and 555.96

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Solution

The fourth proportional to 1,942.66, 2,914.45 and 555.96 is: 834.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,942.66 : 2,914.45 = 555.96 : x
  2. Step 2: Convert to fraction form
    1,942.66/2,914.45 = 555.96/x
  3. Step 3: Cross multiply
    1,942.66x = 2,914.45 × 555.96
  4. Step 4: Simplify right side
    1,942.66x = 1,620,310.77
  5. Step 5: Solve for x
    x = 1,620,310.77/1,942.66
  6. Step 6: Final answer
    x = 834.07

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.