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Finding the Fourth Proportional to 2,406.96, 3,604.96 and 1,529.41

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Solution

The fourth proportional to 2,406.96, 3,604.96 and 1,529.41 is: 2,290.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,406.96 : 3,604.96 = 1,529.41 : x
  2. Step 2: Convert to fraction form
    2,406.96/3,604.96 = 1,529.41/x
  3. Step 3: Cross multiply
    2,406.96x = 3,604.96 × 1,529.41
  4. Step 4: Simplify right side
    2,406.96x = 5,513,461.87
  5. Step 5: Solve for x
    x = 5,513,461.87/2,406.96
  6. Step 6: Final answer
    x = 2,290.63

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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.