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Finding the Fourth Proportional to 2,389.26, 3,583.22 and 829.20

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Solution

The fourth proportional to 2,389.26, 3,583.22 and 829.20 is: 1,243.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,389.26 : 3,583.22 = 829.20 : x
  2. Step 2: Convert to fraction form
    2,389.26/3,583.22 = 829.20/x
  3. Step 3: Cross multiply
    2,389.26x = 3,583.22 × 829.20
  4. Step 4: Simplify right side
    2,389.26x = 2,971,206.02
  5. Step 5: Solve for x
    x = 2,971,206.02/2,389.26
  6. Step 6: Final answer
    x = 1,243.57

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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.