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Finding the Fourth Proportional to 1,776.96, 2,450.97 and 1,403.34

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Solution

The fourth proportional to 1,776.96, 2,450.97 and 1,403.34 is: 1,935.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,776.96 : 2,450.97 = 1,403.34 : x
  2. Step 2: Convert to fraction form
    1,776.96/2,450.97 = 1,403.34/x
  3. Step 3: Cross multiply
    1,776.96x = 2,450.97 × 1,403.34
  4. Step 4: Simplify right side
    1,776.96x = 3,439,544.24
  5. Step 5: Solve for x
    x = 3,439,544.24/1,776.96
  6. Step 6: Final answer
    x = 1,935.63

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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.