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Finding the Fourth Proportional to 1,770.30, 2,651.73 and 844.93

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Solution

The fourth proportional to 1,770.30, 2,651.73 and 844.93 is: 1,265.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,770.30 : 2,651.73 = 844.93 : x
  2. Step 2: Convert to fraction form
    1,770.30/2,651.73 = 844.93/x
  3. Step 3: Cross multiply
    1,770.30x = 2,651.73 × 844.93
  4. Step 4: Simplify right side
    1,770.30x = 2,240,516.21
  5. Step 5: Solve for x
    x = 2,240,516.21/1,770.30
  6. Step 6: Final answer
    x = 1,265.61

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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.