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Finding the Fourth Proportional to 1,597.48, 2,394.08 and 1,183.24

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Solution

The fourth proportional to 1,597.48, 2,394.08 and 1,183.24 is: 1,773.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,597.48 : 2,394.08 = 1,183.24 : x
  2. Step 2: Convert to fraction form
    1,597.48/2,394.08 = 1,183.24/x
  3. Step 3: Cross multiply
    1,597.48x = 2,394.08 × 1,183.24
  4. Step 4: Simplify right side
    1,597.48x = 2,832,771.22
  5. Step 5: Solve for x
    x = 2,832,771.22/1,597.48
  6. Step 6: Final answer
    x = 1,773.27

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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.