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Finding the Fourth Proportional to 2,406.15, 3,609.23 and 846.20

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Solution

The fourth proportional to 2,406.15, 3,609.23 and 846.20 is: 1,269.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,406.15 : 3,609.23 = 846.20 : x
  2. Step 2: Convert to fraction form
    2,406.15/3,609.23 = 846.20/x
  3. Step 3: Cross multiply
    2,406.15x = 3,609.23 × 846.20
  4. Step 4: Simplify right side
    2,406.15x = 3,054,108.15
  5. Step 5: Solve for x
    x = 3,054,108.15/2,406.15
  6. Step 6: Final answer
    x = 1,269.29

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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.