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Finding the Fourth Proportional to 2,157.80, 3,233.65 and 984.92

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Solution

The fourth proportional to 2,157.80, 3,233.65 and 984.92 is: 1,475.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,157.80 : 3,233.65 = 984.92 : x
  2. Step 2: Convert to fraction form
    2,157.80/3,233.65 = 984.92/x
  3. Step 3: Cross multiply
    2,157.80x = 3,233.65 × 984.92
  4. Step 4: Simplify right side
    2,157.80x = 3,184,886.56
  5. Step 5: Solve for x
    x = 3,184,886.56/2,157.80
  6. Step 6: Final answer
    x = 1,475.99

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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.