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Finding the Fourth Proportional to 2,369.13, 3,269.42 and 1,321.21

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Solution

The fourth proportional to 2,369.13, 3,269.42 and 1,321.21 is: 1,823.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,369.13 : 3,269.42 = 1,321.21 : x
  2. Step 2: Convert to fraction form
    2,369.13/3,269.42 = 1,321.21/x
  3. Step 3: Cross multiply
    2,369.13x = 3,269.42 × 1,321.21
  4. Step 4: Simplify right side
    2,369.13x = 4,319,590.40
  5. Step 5: Solve for x
    x = 4,319,590.40/2,369.13
  6. Step 6: Final answer
    x = 1,823.28

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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.