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Finding the Fourth Proportional to 1,605.60, 2,406.27 and 1,191.49

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Solution

The fourth proportional to 1,605.60, 2,406.27 and 1,191.49 is: 1,785.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,605.60 : 2,406.27 = 1,191.49 : x
  2. Step 2: Convert to fraction form
    1,605.60/2,406.27 = 1,191.49/x
  3. Step 3: Cross multiply
    1,605.60x = 2,406.27 × 1,191.49
  4. Step 4: Simplify right side
    1,605.60x = 2,867,046.64
  5. Step 5: Solve for x
    x = 2,867,046.64/1,605.60
  6. Step 6: Final answer
    x = 1,785.65

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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.