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Finding the Fourth Proportional to 1,604.05, 2,403.64 and 1,191.25

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Solution

The fourth proportional to 1,604.05, 2,403.64 and 1,191.25 is: 1,785.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,604.05 : 2,403.64 = 1,191.25 : x
  2. Step 2: Convert to fraction form
    1,604.05/2,403.64 = 1,191.25/x
  3. Step 3: Cross multiply
    1,604.05x = 2,403.64 × 1,191.25
  4. Step 4: Simplify right side
    1,604.05x = 2,863,336.15
  5. Step 5: Solve for x
    x = 2,863,336.15/1,604.05
  6. Step 6: Final answer
    x = 1,785.07

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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.