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Finding the Fourth Proportional to 2,353.27, 3,530.84 and 892.81

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Solution

The fourth proportional to 2,353.27, 3,530.84 and 892.81 is: 1,339.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,353.27 : 3,530.84 = 892.81 : x
  2. Step 2: Convert to fraction form
    2,353.27/3,530.84 = 892.81/x
  3. Step 3: Cross multiply
    2,353.27x = 3,530.84 × 892.81
  4. Step 4: Simplify right side
    2,353.27x = 3,152,369.26
  5. Step 5: Solve for x
    x = 3,152,369.26/2,353.27
  6. Step 6: Final answer
    x = 1,339.57

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.