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Finding the Fourth Proportional to 2,369.27, 3,269.49 and 1,374.86

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Solution

The fourth proportional to 2,369.27, 3,269.49 and 1,374.86 is: 1,897.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,369.27 : 3,269.49 = 1,374.86 : x
  2. Step 2: Convert to fraction form
    2,369.27/3,269.49 = 1,374.86/x
  3. Step 3: Cross multiply
    2,369.27x = 3,269.49 × 1,374.86
  4. Step 4: Simplify right side
    2,369.27x = 4,495,091.02
  5. Step 5: Solve for x
    x = 4,495,091.02/2,369.27
  6. Step 6: Final answer
    x = 1,897.25

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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.