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Finding the Fourth Proportional to 1,920.14, 2,647.98 and 1,776.96

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Solution

The fourth proportional to 1,920.14, 2,647.98 and 1,776.96 is: 2,450.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,920.14 : 2,647.98 = 1,776.96 : x
  2. Step 2: Convert to fraction form
    1,920.14/2,647.98 = 1,776.96/x
  3. Step 3: Cross multiply
    1,920.14x = 2,647.98 × 1,776.96
  4. Step 4: Simplify right side
    1,920.14x = 4,705,354.54
  5. Step 5: Solve for x
    x = 4,705,354.54/1,920.14
  6. Step 6: Final answer
    x = 2,450.53

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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.