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Finding the Fourth Proportional to 1,947.08, 2,688.72 and 1,811

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Solution

The fourth proportional to 1,947.08, 2,688.72 and 1,811 is: 2,500.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,947.08 : 2,688.72 = 1,811 : x
  2. Step 2: Convert to fraction form
    1,947.08/2,688.72 = 1,811/x
  3. Step 3: Cross multiply
    1,947.08x = 2,688.72 × 1,811
  4. Step 4: Simplify right side
    1,947.08x = 4,869,271.92
  5. Step 5: Solve for x
    x = 4,869,271.92/1,947.08
  6. Step 6: Final answer
    x = 2,500.81

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.