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Finding the Fourth Proportional to 1,912.92, 2,870.40 and 1,091.77

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Solution

The fourth proportional to 1,912.92, 2,870.40 and 1,091.77 is: 1,638.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,912.92 : 2,870.40 = 1,091.77 : x
  2. Step 2: Convert to fraction form
    1,912.92/2,870.40 = 1,091.77/x
  3. Step 3: Cross multiply
    1,912.92x = 2,870.40 × 1,091.77
  4. Step 4: Simplify right side
    1,912.92x = 3,133,816.61
  5. Step 5: Solve for x
    x = 3,133,816.61/1,912.92
  6. Step 6: Final answer
    x = 1,638.24

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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.