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Finding the Fourth Proportional to 2,364.14, 3,262.28 and 1,369.74

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Solution

The fourth proportional to 2,364.14, 3,262.28 and 1,369.74 is: 1,890.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,364.14 : 3,262.28 = 1,369.74 : x
  2. Step 2: Convert to fraction form
    2,364.14/3,262.28 = 1,369.74/x
  3. Step 3: Cross multiply
    2,364.14x = 3,262.28 × 1,369.74
  4. Step 4: Simplify right side
    2,364.14x = 4,468,480.79
  5. Step 5: Solve for x
    x = 4,468,480.79/2,364.14
  6. Step 6: Final answer
    x = 1,890.11

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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.