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Finding the Fourth Proportional to 2,364.60, 3,262.86 and 1,369.74

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Solution

The fourth proportional to 2,364.60, 3,262.86 and 1,369.74 is: 1,890.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,364.60 : 3,262.86 = 1,369.74 : x
  2. Step 2: Convert to fraction form
    2,364.60/3,262.86 = 1,369.74/x
  3. Step 3: Cross multiply
    2,364.60x = 3,262.86 × 1,369.74
  4. Step 4: Simplify right side
    2,364.60x = 4,469,269.86
  5. Step 5: Solve for x
    x = 4,469,269.86/2,364.60
  6. Step 6: Final answer
    x = 1,890.07

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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.