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Finding the Fourth Proportional to 2,316.96, 3,197.49 and 1,269.03

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Solution

The fourth proportional to 2,316.96, 3,197.49 and 1,269.03 is: 1,751.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,316.96 : 3,197.49 = 1,269.03 : x
  2. Step 2: Convert to fraction form
    2,316.96/3,197.49 = 1,269.03/x
  3. Step 3: Cross multiply
    2,316.96x = 3,197.49 × 1,269.03
  4. Step 4: Simplify right side
    2,316.96x = 4,057,710.73
  5. Step 5: Solve for x
    x = 4,057,710.73/2,316.96
  6. Step 6: Final answer
    x = 1,751.31

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.