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Finding the Fourth Proportional to 2,389.48, 3,583.26 and 850.60

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Solution

The fourth proportional to 2,389.48, 3,583.26 and 850.60 is: 1,275.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,389.48 : 3,583.26 = 850.60 : x
  2. Step 2: Convert to fraction form
    2,389.48/3,583.26 = 850.60/x
  3. Step 3: Cross multiply
    2,389.48x = 3,583.26 × 850.60
  4. Step 4: Simplify right side
    2,389.48x = 3,047,920.96
  5. Step 5: Solve for x
    x = 3,047,920.96/2,389.48
  6. Step 6: Final answer
    x = 1,275.56

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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.