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Finding the Fourth Proportional to 2,353.52, 3,528.09 and 891.69

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Solution

The fourth proportional to 2,353.52, 3,528.09 and 891.69 is: 1,336.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,353.52 : 3,528.09 = 891.69 : x
  2. Step 2: Convert to fraction form
    2,353.52/3,528.09 = 891.69/x
  3. Step 3: Cross multiply
    2,353.52x = 3,528.09 × 891.69
  4. Step 4: Simplify right side
    2,353.52x = 3,145,962.57
  5. Step 5: Solve for x
    x = 3,145,962.57/2,353.52
  6. Step 6: Final answer
    x = 1,336.71

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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.