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Finding the Fourth Proportional to 2,406.69, 3,604.55 and 2,166.12

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Solution

The fourth proportional to 2,406.69, 3,604.55 and 2,166.12 is: 3,244.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,406.69 : 3,604.55 = 2,166.12 : x
  2. Step 2: Convert to fraction form
    2,406.69/3,604.55 = 2,166.12/x
  3. Step 3: Cross multiply
    2,406.69x = 3,604.55 × 2,166.12
  4. Step 4: Simplify right side
    2,406.69x = 7,807,877.02
  5. Step 5: Solve for x
    x = 7,807,877.02/2,406.69
  6. Step 6: Final answer
    x = 3,244.24

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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.