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Finding the Fourth Proportional to 2,379.80, 3,570.72 and 919.98

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Solution

The fourth proportional to 2,379.80, 3,570.72 and 919.98 is: 1,380.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,379.80 : 3,570.72 = 919.98 : x
  2. Step 2: Convert to fraction form
    2,379.80/3,570.72 = 919.98/x
  3. Step 3: Cross multiply
    2,379.80x = 3,570.72 × 919.98
  4. Step 4: Simplify right side
    2,379.80x = 3,284,990.99
  5. Step 5: Solve for x
    x = 3,284,990.99/2,379.80
  6. Step 6: Final answer
    x = 1,380.36

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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.