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Finding the Fourth Proportional to 3,400.65, 4,689.90 and 2,462.67

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Solution

The fourth proportional to 3,400.65, 4,689.90 and 2,462.67 is: 3,396.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,400.65 : 4,689.90 = 2,462.67 : x
  2. Step 2: Convert to fraction form
    3,400.65/4,689.90 = 2,462.67/x
  3. Step 3: Cross multiply
    3,400.65x = 4,689.90 × 2,462.67
  4. Step 4: Simplify right side
    3,400.65x = 11,549,676.03
  5. Step 5: Solve for x
    x = 11,549,676.03/3,400.65
  6. Step 6: Final answer
    x = 3,396.31

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