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Finding the Fourth Proportional to 3,065.99, 4,231.15 and 2,401.67

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Solution

The fourth proportional to 3,065.99, 4,231.15 and 2,401.67 is: 3,314.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,065.99 : 4,231.15 = 2,401.67 : x
  2. Step 2: Convert to fraction form
    3,065.99/4,231.15 = 2,401.67/x
  3. Step 3: Cross multiply
    3,065.99x = 4,231.15 × 2,401.67
  4. Step 4: Simplify right side
    3,065.99x = 10,161,830.59
  5. Step 5: Solve for x
    x = 10,161,830.59/3,065.99
  6. Step 6: Final answer
    x = 3,314.38

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.