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Finding the Fourth Proportional to 3,231.76, 4,846.62 and 1,040

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Solution

The fourth proportional to 3,231.76, 4,846.62 and 1,040 is: 1,559.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,231.76 : 4,846.62 = 1,040 : x
  2. Step 2: Convert to fraction form
    3,231.76/4,846.62 = 1,040/x
  3. Step 3: Cross multiply
    3,231.76x = 4,846.62 × 1,040
  4. Step 4: Simplify right side
    3,231.76x = 5,040,484.80
  5. Step 5: Solve for x
    x = 5,040,484.80/3,231.76
  6. Step 6: Final answer
    x = 1,559.67

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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.