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Finding the Fourth Proportional to 2,369.42, 3,269.24 and 1,374.13

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Solution

The fourth proportional to 2,369.42, 3,269.24 and 1,374.13 is: 1,895.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,369.42 : 3,269.24 = 1,374.13 : x
  2. Step 2: Convert to fraction form
    2,369.42/3,269.24 = 1,374.13/x
  3. Step 3: Cross multiply
    2,369.42x = 3,269.24 × 1,374.13
  4. Step 4: Simplify right side
    2,369.42x = 4,492,370.86
  5. Step 5: Solve for x
    x = 4,492,370.86/2,369.42
  6. Step 6: Final answer
    x = 1,895.98

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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.