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Finding the Fourth Proportional to 2,353.73, 3,526.83 and 1,912.84

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Solution

The fourth proportional to 2,353.73, 3,526.83 and 1,912.84 is: 2,866.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,353.73 : 3,526.83 = 1,912.84 : x
  2. Step 2: Convert to fraction form
    2,353.73/3,526.83 = 1,912.84/x
  3. Step 3: Cross multiply
    2,353.73x = 3,526.83 × 1,912.84
  4. Step 4: Simplify right side
    2,353.73x = 6,746,252.68
  5. Step 5: Solve for x
    x = 6,746,252.68/2,353.73
  6. Step 6: Final answer
    x = 2,866.20

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Why These Related Problems?

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