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Finding the Fourth Proportional to 2,389.46, 3,582.02 and 850.10

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Solution

The fourth proportional to 2,389.46, 3,582.02 and 850.10 is: 1,274.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,389.46 : 3,582.02 = 850.10 : x
  2. Step 2: Convert to fraction form
    2,389.46/3,582.02 = 850.10/x
  3. Step 3: Cross multiply
    2,389.46x = 3,582.02 × 850.10
  4. Step 4: Simplify right side
    2,389.46x = 3,045,059.42
  5. Step 5: Solve for x
    x = 3,045,059.42/2,389.46
  6. Step 6: Final answer
    x = 1,274.37

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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.