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Finding the Fourth Proportional to 2,379.59, 3,570.41 and 993.20

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Solution

The fourth proportional to 2,379.59, 3,570.41 and 993.20 is: 1,490.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,379.59 : 3,570.41 = 993.20 : x
  2. Step 2: Convert to fraction form
    2,379.59/3,570.41 = 993.20/x
  3. Step 3: Cross multiply
    2,379.59x = 3,570.41 × 993.20
  4. Step 4: Simplify right side
    2,379.59x = 3,546,131.21
  5. Step 5: Solve for x
    x = 3,546,131.21/2,379.59
  6. Step 6: Final answer
    x = 1,490.23

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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.