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Finding the Fourth Proportional to 1,790.44, 2,687.02 and 694.19

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Solution

The fourth proportional to 1,790.44, 2,687.02 and 694.19 is: 1,041.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,790.44 : 2,687.02 = 694.19 : x
  2. Step 2: Convert to fraction form
    1,790.44/2,687.02 = 694.19/x
  3. Step 3: Cross multiply
    1,790.44x = 2,687.02 × 694.19
  4. Step 4: Simplify right side
    1,790.44x = 1,865,307.40
  5. Step 5: Solve for x
    x = 1,865,307.40/1,790.44
  6. Step 6: Final answer
    x = 1,041.82

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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.