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Finding the Fourth Proportional to 3,231.88, 4,846.74 and 1,040.10

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Solution

The fourth proportional to 3,231.88, 4,846.74 and 1,040.10 is: 1,559.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,231.88 : 4,846.74 = 1,040.10 : x
  2. Step 2: Convert to fraction form
    3,231.88/4,846.74 = 1,040.10/x
  3. Step 3: Cross multiply
    3,231.88x = 4,846.74 × 1,040.10
  4. Step 4: Simplify right side
    3,231.88x = 5,041,094.27
  5. Step 5: Solve for x
    x = 5,041,094.27/3,231.88
  6. Step 6: Final answer
    x = 1,559.80

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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.