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Finding the Fourth Proportional to 2,369.13, 3,269.48 and 1,374.80

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Solution

The fourth proportional to 2,369.13, 3,269.48 and 1,374.80 is: 1,897.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,369.13 : 3,269.48 = 1,374.80 : x
  2. Step 2: Convert to fraction form
    2,369.13/3,269.48 = 1,374.80/x
  3. Step 3: Cross multiply
    2,369.13x = 3,269.48 × 1,374.80
  4. Step 4: Simplify right side
    2,369.13x = 4,494,857.88
  5. Step 5: Solve for x
    x = 4,494,857.88/2,369.13
  6. Step 6: Final answer
    x = 1,897.26

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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.