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Finding the Fourth Proportional to 2,353.48, 3,529.72 and 892.12

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Solution

The fourth proportional to 2,353.48, 3,529.72 and 892.12 is: 1,337.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,353.48 : 3,529.72 = 892.12 : x
  2. Step 2: Convert to fraction form
    2,353.48/3,529.72 = 892.12/x
  3. Step 3: Cross multiply
    2,353.48x = 3,529.72 × 892.12
  4. Step 4: Simplify right side
    2,353.48x = 3,148,933.81
  5. Step 5: Solve for x
    x = 3,148,933.81/2,353.48
  6. Step 6: Final answer
    x = 1,337.99

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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.