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Finding the Fourth Proportional to 2,338.96, 3,218.09 and 1,776.17

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Solution

The fourth proportional to 2,338.96, 3,218.09 and 1,776.17 is: 2,443.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,338.96 : 3,218.09 = 1,776.17 : x
  2. Step 2: Convert to fraction form
    2,338.96/3,218.09 = 1,776.17/x
  3. Step 3: Cross multiply
    2,338.96x = 3,218.09 × 1,776.17
  4. Step 4: Simplify right side
    2,338.96x = 5,715,874.92
  5. Step 5: Solve for x
    x = 5,715,874.92/2,338.96
  6. Step 6: Final answer
    x = 2,443.77

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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.